Question

A.) Find x b.) Find the measure of angle B c.) Find the measure of angle C

Answer 1

Answer:

a ) x = 3

b ) 70

c ) 50

Step-by-step explanation:

( 15x + 5 ) and ( 22x + 4 ) are interior angles.

120 is the exterior angles.

Formula : -

Sum of two interior angles = Exterior angle

15x + 5 + 22x + 4 = 120

15x + 22x + 5 + 4 = 120

37x + 9 = 120

37x = 120 - 9

37x = 111

x = 111 / 37

x = 3

Therefore,

x = 3

Angle B

= 22x + 4

Substitute x = 3,

22x + 4

= 22 ( 3 ) + 4

= 66 + 4

= 70

Therefore,

the measure of angle B is 70.

Angle C

= 15x + 5

= 15 ( 3 ) + 5

= 45 + 5

= 50

Therefore,

the measure of angle C is 50.