Question

What is the measure of \angle 1?, What is the measure of \angle 2?, What is the measure of \angle 4? and What is the measure of \angle 5?

Answer 1

<1 and <6 = 98

<2 and <3 = 139

<4 and <5 = 123

Explanation:

82 + 9x - 6 + 6x - 1 = 180

15x + 75 = 180

15x = 105

x = 7

<1:

x + 82 = 180

x = 98

<2:

6x - 1 = 6(7) - 1 = 41

x + 41 = 180

x = 139

<3 = <2 because of vertical angle thm so <3 = 139

<5:

9x - 6 = 9(7) - 6 = 57

x + 57 = 180

x = 123

<4 = 5 because of vertical angle thm

<6 = <1 because of vertical angle thm