Question

Two angles are complementary is the sum of their measures is 90 degrees. The measure of the first angle is 42 degrees more than 2 times the second angle. Find the measure of the first angle.

Answer 1

Let the second angle = X

The first angle = 2X+42 ( 42 more than 2 times the second angle)

Now you have 2x+42 + x = 90  ( first angle + second angle = 90)

2x + x = 3x

Now you have:
3x +42 = 90

Subtract 42 from both sides:
3x = 48

Divide both sides by 3:
x= 48/3
x = 16

The second angle = 16 degrees.
 The first angle = 2(16) + 42 = 32+42 = 74 degrees