Answer:
84 degrees and 6 degrees
Step-by-step explanation:
Let's use x to describe the unknown value of the second angle.
The first angle is 66 degrees more than 3 times the second angle. This can be represented as: 3x + 66
The other angle is x.
The two angles combined equals 90, so in order to find the value of x, let's use this equation:
3x + 66 + x = 90
Combine like terms
4x + 66 = 90
Isolate the 4x by subtracting 66
4x = 24
Isolate the x by dividing both sides by 4
x = 6
use this value of x to solve for the measures of the 2 angles.
Angle 1: 3(6) + 66 = 18 + 66 = 84
Angle 2: 6 degrees
We know these measures are correct because 84 + 6 = 90
