Question

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

Both equal 121 degrees

Explanation:

Vertical angles are equal, and and 2 are indeed vertical angles. They are the "top" and "bottom" of the x formed. So you can use this.

angle 1 = angle 2

20x + 21 = 30x - 29

50 = 10x

5 = x

So just plug this in.

20x + 21

20(5) + 21

121

30x - 29

30(5) - 29

121

So both are 121.