Angle & Perpendicular Bisectors

An angle is bisected, forming two new angles. Each new angle has a measure of 15°. What was the measure of the original angle? (enter number only)

After bisecting an angle, Eric has two new angles, each with a measure of 19°. What was the measure of the original angle? (number only)

After bisecting an angle, Patty has two new angles, each with a measure of 12°. What was the measure of the original angle? (number only)

Given the segment BP bisects ∠CBD Find m∠2 if m∠2 = 7x + 5 and m∠1 = 9x − 5.

FIND m∠2=____ degrees

The figure shows a triangle with one of its angle bisectors. Find x if m∠2 = 4x + 5 and m∠1 = 5x − 2.

• x = 7

• x = 3

• x = -7

• x = 1/3

What is the length of segment DE?

What is m∠HIJ? (number only)

If ST=SV=65 and TU=98, what is UV?

What is PS?

If GH = HI = 98 and FG=82, what is GI ?