Question

∠A and ∠ B ∠B are supplementary angles. If m ∠ A = ( 4 x − 16 ) ∘ ∠A=(4x−16) ∘ and m ∠ B = ( 8 x + 4 ) ∘ ∠B=(8x+4) ∘ , then find the measure of ∠ A ∠A.

Answer 1

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°