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

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°°