Step-by-step explanation:
Complementary angles add up to 90 degrees. So the equation we set up will include this.
Since angle 2 is 15 degrees less than 2x the measure of angle 1, we will use x for angle 1 and write
2x-15
This is equal to angle 2. However, you still have to add x again because angle 1 and angle 2 add up to 90 degrees. Our equation will look like this.
2x-15+x=90
Now let's solve!
3x+15=90
3x=75
x=25
25 is the measure of angle 1. Now let's substitute x into the expression we used for angle 2.
2x-15
2(25)-15
50-15
35
The measure of angle 2 is 35 degrees.
