Step-3

Title: Angles

Grade: 1400-a Lesson: S3-L8

Explanation: Hello Students, time to practice and review the steps for the problem.

Lesson Steps

Step Type Explanation Answer

1

Problem

Find the value of y in (3y + 21)° and (6y – 12)°, which create a linear pair.

2

Step

Given angles

(3y + 21)° and (6y – 12)°

3

Step

The sum of a linear pair of angles is 180°

(3y + 21)°+ (6y – 12)° = 180°

4

Step

Combine like terms in the equation

(9y – 9)° = 180°

9y = 180° – 9°

9y = 171°

5

Step

Divide both sides by 9 to solve for y

y = \$(171°)/9\$

y = 19°

6

SumUp

Can you summarize what you’ve understood in the above steps?

7

Choice.A

It is the correct answer because it satisfies the equation and makes the sum of the angles in the linear pair equal to 180°

19°

8

Choice.B

Incorrect. Substituting y = 18 does not satisfy 9y + 9 = 180

18°

9

Choice.C

Incorrect. Substituting y = 13 does not satisfy 9y + 9 = 180

13°

10

Choice.D

Incorrect. Substituting y = 10 does not satisfy 9y + 9 = 180

10°

11

Answer

Option

A

12

SumUp

Can you summarize what you’ve understood in the above steps?


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