Answer:
the measure of ∠A. is 87∘
Step-by-step explanation:
Two angles are said to be supplementary angles if the sum of those angles is 180 degrees.
_________________________________________________
Given
∠A=(4x−30)
∘
∠B=(4x−14)
∘
Fir angles to be supplementary
∠A + ∠B = 180
(4x−30)
∘ + (4x−14)
∘ = 180∘
(8x -54 )∘ = 180∘
=> 8x = 180∘ + 54∘= 234∘
=> x = 234∘/8 = 29.25∘
Thus,
∠A=(4x−30)
∘
∠A=(4*29.25−30)
∘ =( 117 - 30 )
∘ = 87∘
Thus,
the measure of ∠A. is 87∘
