Answer:
Part 1: Angle = 36°
Part 2: Angle = 72°
Step-by-step explanation:
If we have an angle "x", then
Its complement is 90 - x, and
supplement is 180 - x
Let's write equations and solve.
<u>Part 1:</u>
Complement = 1.5 times angle
90 - x = 1.5x
90 = 1.5x + x
90 = 2.5 x
x = 90/2.5 = 36
<u>Part 2:</u>
Now using 2nd equation:
3 * angle = 2 * Supplement
3x = 2 (180 - x)
3x = 360 - 2x
3x + 2x = 360
5x = 360
x = 360/5 = 72
