Question

If <3 and <4 are vertical angles and m<3=9x+5 and m<4=5x+33 find <4

Answer 1

68 degrees

Explanation

If <3 and <4 are vertical angles, then <3 = <4

This means that

9x + 5 = 5x + 33

9x - 5x = 33 - 5

4x = 28

x = 28/4

x = 7

Since <4 = 5x+ 33

<4 = 5(7) + 33

<4 = 35 + 33

<4 = 68 degrees

Hence the measure of <4 is 68 degrees