Mathematics

# How many degrees are there in an angle which is one-fifth of its complement?

##### SOLUTION
In the given figure,
Given angle is 10501050
x+1050=1800x+1050=1800
x=18001050=750x=1800−1050=750
But x+y=1800x+y=1800              (Sum of co-interior angles)
750+y=1800⇒750+y=1800           (Sum of co-interior angles)
y=1800750=1050⇒y=1800−750=1050
Similarly, y+z=1800y+z=1800   (Sum of co-interior angles)
1050+z=1800⇒1050+z=1800
z=18001050=750⇒z=1800−1050=750
Hence, x=750,y=1050,z=750

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Subjective Medium Published on 09th 09, 2020
Questions 120418
Subjects 10
Chapters 88
Enrolled Students 86

#### Realted Questions

Q1 Subjective Medium
In the above figure, $AB$ is a straight line and $OD\perp AB$. Observe the figure and fill in the following blanks:

(i) $\angle AOC$ and $\angle COE$ form a pair of .. angles.
(ii) $\angle AOC$ and $\angle COB$ are .. angles.
(iii) $\angle AOC$ is of $\angle COD$.
(iv) $\angle BOE$ is . of $\angle EOA$.

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q2 Single Correct Medium
Straight angle measures _____.
• A. $\displaystyle 90^{o}$
• B. $\displaystyle 60^{o}$
• C. $\displaystyle 45^{o}$
• D. $\displaystyle 180^{o}$

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q3 Single Correct Medium
In the figure PQ || ST, then $\angle$QRS is equal to:
• A. 40$^o$
• B. 50$^o$
• C. 60$^o$
• D. 30$^o$

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 23rd 09, 2020

Q4 Single Correct Medium
If the difference of two supplementary angles is $40^0$, then the measurement of the greater angle is:
• A. $65^0$
• B. $130^0$
• C. $220^0$
• D. $110^0$

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q5 Subjective Medium
In each of the above figure write, if any, $(i)$ each pair of vertically opposite angles, and $(ii)$ each linear pair.

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020
The content structure of the provided text is a question followed by a solution that does not directly answer the question posed. The question asks about the measure of an angle that is one-fifth of its complement, while the solution discusses angles in a figure with a straight line and a perpendicular line, calculating the measures of several angles.
single_question

the text contains a single mathematical question, but the provided solution does not answer the question asked.
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
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Mathematics

# How many degrees are there in an angle which is one-fifth of its complement?

##### SOLUTION
In the given figure,
Given angle is 10501050
x+1050=1800x+1050=1800
x=18001050=750x=1800−1050=750
But x+y=1800x+y=1800              (Sum of co-interior angles)
750+y=1800⇒750+y=1800           (Sum of co-interior angles)
y=1800750=1050⇒y=1800−750=1050
Similarly, y+z=1800y+z=1800   (Sum of co-interior angles)
1050+z=1800⇒1050+z=1800
z=18001050=750⇒z=1800−1050=750
Hence, x=750,y=1050,z=750

You're just one step away

Subjective Medium Published on 09th 09, 2020
Questions 120418
Subjects 10
Chapters 88
Enrolled Students 86

#### Realted Questions

Q1 Subjective Medium
In the above figure, $AB$ is a straight line and $OD\perp AB$. Observe the figure and fill in the following blanks:

(i) $\angle AOC$ and $\angle COE$ form a pair of .. angles.
(ii) $\angle AOC$ and $\angle COB$ are .. angles.
(iii) $\angle AOC$ is of $\angle COD$.
(iv) $\angle BOE$ is . of $\angle EOA$.

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q2 Single Correct Medium
Straight angle measures _____.
• A. $\displaystyle 90^{o}$
• B. $\displaystyle 60^{o}$
• C. $\displaystyle 45^{o}$
• D. $\displaystyle 180^{o}$

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q3 Single Correct Medium
In the figure PQ || ST, then $\angle$QRS is equal to:
• A. 40$^o$
• B. 50$^o$
• C. 60$^o$
• D. 30$^o$

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 23rd 09, 2020

Q4 Single Correct Medium
If the difference of two supplementary angles is $40^0$, then the measurement of the greater angle is:
• A. $65^0$
• B. $130^0$
• C. $220^0$
• D. $110^0$

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q5 Subjective Medium
In each of the above figure write, if any, $(i)$ each pair of vertically opposite angles, and $(ii)$ each linear pair.

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020
user
The content structure of the provided text is a question followed by a solution that does not directly answer the question posed. The question asks about the measure of an angle that is one-fifth of its complement, while the solution discusses angles in a figure with a straight line and a perpendicular line, calculating the measures of several angles.

TYPE: SINGLE_QUESTION

The text contains a single mathematical question, but the provided solution does not answer the question asked.