The first angle is 6x and its vertical angle is 4x + 20. What is the measure of the angle and the adjacent angle?

2
by ThegEEK

2015-11-30T17:54:12+08:00
6x = 4x +20
2x = 20
x = 10
6 (10) = 60 = First angle
180 minus First angle =Adjacent angle

gosh...thanks a lot
• Brainly User
2015-12-01T14:55:30+08:00
Vertical angles are congruent.
First Angle: 6x
Second Angle: 4x + 20
First and Second angles are vertical, therefore they are congruent.

Equate 6x and 4x + 20 to solve for x:
6x = 4x + 20
6x - 4x = 20
2x = 20
2x/2 = 20/2
x = 10

Substitute 5 for x:
First angle: 6x ⇒  6 (10) = 60°
Second angle: 4x + 20  ⇒  4(10) + 20 = 40 + 20 = 60°
The text passage contains a mathematical question about finding the measure of an angle and its adjacent angle, and it also provides a detailed solution to the problem.
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
The first angle is 6x and its vertical angle is 4x + 20. What is the measure of the angle and the adjacent angle?

2
by ThegEEK

2015-11-30T17:54:12+08:00
6x = 4x +20
2x = 20
x = 10
6 (10) = 60 = First angle
180 minus First angle =Adjacent angle

gosh...thanks a lot
• Brainly User
2015-12-01T14:55:30+08:00
Vertical angles are congruent.
First Angle: 6x
Second Angle: 4x + 20
First and Second angles are vertical, therefore they are congruent.

Equate 6x and 4x + 20 to solve for x:
6x = 4x + 20
6x - 4x = 20
2x = 20
2x/2 = 20/2
x = 10

Substitute 5 for x:
First angle: 6x ⇒  6 (10) = 60°
Second angle: 4x + 20  ⇒  4(10) + 20 = 40 + 20 = 60°
user
The text passage contains a mathematical question about finding the measure of an angle and its adjacent angle, and it also provides a detailed solution to the problem.

TYPE: SINGLE_QUESTION_WITH_ANSWER