Question

Two angles are complementary is the sum of their measures is 90 degrees. the measure of the first angle is 12 degrees more than 4 times the second angle. find the measure of the first angle.

Answer 1

Using the information given you can set up an equation to find the angle.
Let x = Second angle
Let 4x + 12 = First angle
Angle 1 and 2 should add together to equal 90°. The equation therefore is ,

`(4x + 12) + (x) = 90`

`4x + 12 + x = 90`

`5x -12 = 90`

`5x = 102`

`x = 20.4`
However the value of x is not for the first angle, it is the value for the second angle. Putting this value unto the first angles equation will give us the actual angle.

`4(20.4) + 12`

`81.6 + 12`

`= 93.6`
The first angle is 93.6°.