Question

Hi, I need some help on this question

Write an equation to determine the measures of both angles.
Determine the measures of both angles. Show your work.

∠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

A : 20x+21=30x-29

B : m<1 = 121 m<2 = 121

Explanation:

Original equation

• 20x+21=30x-29

Add +29 to both sides

• 20x+50=30x

Subtract -20x

• 50=10x

Divide by 10

• 5 = x

Checking your work and doing substitution

20(5)+21

100+21

121

30(5)-29

150-29

121