Question

The drawing shown contains the intersection of two lines.

The measure of ∠1 =20x+21 and the measure of ∠2 =30x-29.
a.Write an equation to determine the measures of both angles.
b. Determine the measures of both angles. Show your work.

Answer 1

x=5

Explanation:

Answer 2

Since they are vertical angles, they equal each other. Therefor the equation would be: 30x-29 = 20x+21
10x = 50
X = 5
After, you plug whatever x is back into the other equations.
20(5)+21 = 121 and 30(5)-29 = 121