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.
