Step-1

Title: Parallel Lines & Transversals

Grade: 10-a Lesson: S1-L5

Explanation:

Step Type Explanation Answer

1

Problem

In the following diagram, two parallel lines are cut by a transversal. What is the value of x.
1

2

Step

Given

Angles (4x - 21)° and (2x + 7)°

3

Step

Find the x value

4x - 21 = 2x + 7

4

Step

After simplication

4x - 2x = 7 + 21

5

Step

After simplication

2x = 28

6

Step

After simplication

x = \$(\cancel(28)^14) /(\cancel(2)^1)\$

7

Step

After simplication

x = 14

8

Answer

The value of x = 14


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