The measure of angle A is 4 degrees greater than the measure of angle B. The two angles are complementary.Find the measure of ea

Question

2 years ago

9

ch angle. Please help answer this, Thank you!!

2 answers:

Elan Coil [88] · Answer 1 · 2022-04-08T08:08:05+03:00

8 0

Answer:

A= 47°

B= 43°

Explanation:

A complementary angle is a 90° angle.

If A+B= 90 and B+4= A, we can rewrite it as...

B+4+B= 90

→ 2B+4= 90

→ 2B= 86

→ B= 43

Then we go back to the equation A+B= 90 and plug in B as 43...

A+43= 90

→ A= 47

SOVA2 [1] · Answer 2 · 2022-04-08T06:01:53+03:00

Answer:

A = 47° and B = 43°

Step-by-step explanation:

Express angle A in terms of angle B, that is

A = B + 4

Complementary angles sum to 90°, hence

A + B = 90, that is

B + 4 + B = 90

2B + 4 = 90 ( subtract 4 from both sides )

2B = 86 ( divide both sides by 2 )

B = 43

Hence

∠B = 43° and ∠A = B + 4 = 43 + 4 = 47°