Answer:
∠ A = 48°
Step-by-step explanation:
Supplementary angles are those angles that measure up to 180 degrees.
∠A and ∠B are supplementary angles. If m ∠ A = ( 4 x − 16 ) ∘ and m ∠ B = ( 8 x + 4 ) ∘,then find the measure of ∠ A
Step 1
∠A + ∠B = 180°
(4x−16)° + (8x+4)° = 180
4x - 16 + 8x + 4 = 180
12x -12 = 180
12x = 180 + 12
12x = 192
x = 192/12
x = 16
Step 2
To find the measure of ∠ A
∠ A = 4x - 16
= 4 × 16 - 16
= 64 - 16
= 48°
Therefore,
∠ A = 48°
