Question

HELP ASAP LAST DAY

in the diagram PE is an angle bisector.

m∠CED = 96°. Find m∠1. m∠1 =__________

Answer 1

48 degrees.

Explanation:

We know that ∠CED is bisected by the angle bisector PE.

An angle bisector splits an angle into 2 equal angles.

Therefore, ∠1 and ∠2 must be the same measure, and must equal ∠CED

We know that ∠CED is 96 degrees. The angle bisector divides the angle into 2 equal angles. Therefore, we can divide 96 by 2.

96/2=48

Therefore, both ∠1 and ∠2 are equal to 48 degrees.

Answer 2

48 degrees

Explanation:

The definition of an angle bisector is that it divides the angle into two congruent angles. So, angle 1 and angle 2 have the same angle measure. 96/2 = 48, so the measure of angle 1 is 48 degrees.

Hope this helped! :)