Geometry Angle Bisector

Angle Bisectors

Angle Bisector

Example

Bisecting an angle means dividing it into two congruent angles.

Solution:

Each new angle measures 15°. Multiply by 2 to find the original, larger angle.

15° × 2 = 30°

So, the original angle measured 30°.

Multiple Choice

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

Multiple Choice

Find x:

• 5

• 3

• 9

• 8