Question

Find the measure of angles?

The equations to find the measure of ∠ ∠ are given. Use the definition of an angle bisector
to find the measure for those two angles.

Answer 1

m<KNL = 65°

m<MNL = 65°

Explanation:

An angle bisector divides an angle into two equal parts.

Thus:

m<KNL = m<MNL

Substitute

5x + 10 = 6x - 1

Collect like terms

5x - 6x = -10 - 1

-x = -11

Divide both sides by -1

x = 11

✔️m<KNL = 5x + 10

Plug in the value of x

m<KNL = 5(11) + 10 = 55 + 10

m<KNL = 65°

✔️m<MNL = 6x - 1

Plug in the value of x

m<MNL = 6(11) - 1 = 66 - 1

m<MNL = 65°