how do I solve this?

Question

In a right triangle, the measure of one acute angle is 2 times the sum of the measure of the other acute angle and 6. Find the measure of each acute angle.

Answer 1

In a right triangle, the measure of one acute angle is 2 times the sum of the measure of the other acute angle and 6. Find the measure of each acute angle.

Let A= 90

B+ C = 90

B = 2( C +6)

So,

2(C+6) +C = 90

2C +12 +C = 90

3C+ 12 = 90

3C = 90-12 = 78

C= 78/3

C = 26

B = 2(26 + 6 ) = 64

So the two acute angles are 26 degree and 64 degree