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# Find the value of x from the following figure : "

Given :

To do :

We have to find the value of x.

Solution :

$$Sum of the angles in a quadrilateral is 360°$$.

Therefore,

$45°+50°+55°+ ∠ADC = 360°$          [Here, $∠ADC$ is the angle opposite to $∠x$]

$∠ADC = 360° - 150°$

$∠ADC = 210°$

We know that,

Sum of the angles about a point is 360° .

Therefore,

$∠ADC+∠x = 360°$

$210° + ∠x = 360°$

$∠x = 360° -210°$

$∠x = 150°$.

The measure of angle x is 150°.

Tutorialspoint

Simply Easy Learning

Updated on: 10-Oct-2022

34 Views
The passage contains a mathematical question about finding the value of an angle in a quadrilateral, and it provides a detailed solution to the problem, concluding with the answer.
single_question_with_answer
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
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
"
">

# Find the value of x from the following figure : "

Given :

To do :

We have to find the value of x.

Solution :

$$Sum of the angles in a quadrilateral is 360°$$.

Therefore,

$45°+50°+55°+ ∠ADC = 360°$          [Here, $∠ADC$ is the angle opposite to $∠x$]

$∠ADC = 360° - 150°$

$∠ADC = 210°$

We know that,

Sum of the angles about a point is 360° .

Therefore,

$∠ADC+∠x = 360°$

$210° + ∠x = 360°$

$∠x = 360° -210°$

$∠x = 150°$.

The measure of angle x is 150°.

Tutorialspoint

Simply Easy Learning

Updated on: 10-Oct-2022

34 Views
user
The passage contains a mathematical question about finding the value of an angle in a quadrilateral, and it provides a detailed solution to the problem, concluding with the answer.

TYPE: SINGLE_QUESTION_WITH_ANSWER