The measures of two vertical angles are represented by (4x-7)°and (2x+13)°. What is the sum of the two angle measures?

Question

I need it for homework pls and thx XD Pls respond fast :(((((((((((!1!1

Answer 1

Hi XD,

 

Vertical angles are equal by definition. So we can solve:

 

4x -7 = 2x + 13

4x = 2x + 20

2x = 20

x = 10

 

Since "x = 10," we can plug it back into either equation and see that the value of one of the vertical angles is 33 degrees.

 

So, the sum of the 2 angle measures is 33 + 33 = 66