Question

If angle tap and angle bre are supplementary and angle bre is its own complement, find the measure of angle tap

Answer 1

Let x = angle Tap
Let y = angle Bre

Tap and Bre are supplementary, therefore
x + y = 180            (1)

Angle Bre is its own complement, therefore
y = 90 - y              (2)
Add y to each side.
2y = 90
Divide each side by 2.
y = 45°

From (1), obtain
x + 45 = 180
Subtract 45 from each side.
x = 135°

Answer: Angle Tap is 145°°