Question

Exercise #2: Given WRX, solve for the value of x and find the numerical values

Answer 1

Let's recall the concept of Supplementary Angles:

Angles that add up to 180 degress and they form a striaght line.

Stetp 1: Upon saying that, we have:

$\angle\text{ WRV + }\angle VRX\text{ = 180}$

Step 2: Replacing by the values given in the graph:

3x + 22 + 2x - 12 = 180

Step 3: Let's solve for x:

5x - 10 = 180

Adding 10 at both sides:

5x -10 + 10 = 180 + 10

5x = 190

Dividing by 5 at both sides:

5x/5 = 190/5

x = 38

Step 4: Replace the value of x in the orginal values given:

First angle : 3x + 22 = 3 * 38 + 22 = 114 + 22 = 136

Second angle: you can replace and complete 2x - 12