Question

Angle a is three times as large as its complement angle B​

Answer 1

Answer: Angle A=67.5 degrees & Angle B=22.5 degrees

Explanation:

We know angle A and angle B are complementary, meaning they both add up to 90 degrees.

In this case…
Angle A= Y

Angle B= X

We can set up two equations to solve this problem.

X+Y=90

Y=3x

We can use substitution:

X+(3x)=90

4x=90

X=22.5 degrees, so angle B is 22.5 degrees.

Now we know angle A is 3 times as large, so 22.5•3=67.5

Therefore, angle A (Y) is equal to 67.5 degrees.