Question

PLZ HELP ASAP!!!

The complement of an angle is 1.5 times as large as the angle. Find the angle
and
Three times the measure of an angle is equal to twice the measure of the angle's supplement. What's the measure of the angle?

Answer 1

Part 1: Angle = 36°

Part 2: Angle = 72°

Explanation:

If we have an angle "x", then

Its complement is 90 - x, and

supplement is 180 - x

Let's write equations and solve.

Part 1:

Complement = 1.5 times angle

90 - x = 1.5x

90 = 1.5x + x

90 = 2.5 x

x = 90/2.5 = 36

Part 2:

Now using 2nd equation:

3 * angle = 2 * Supplement

3x = 2 (180 - x)

3x = 360 - 2x

3x + 2x = 360

5x = 360

x = 360/5 = 72