Question

XZ is the bisector of angle WXY. Solve for m.​

Answer 1

XZ is the bisector of angle WXY

The bisector is a line or half-line that divides an angle into two equal angles

(7m-13)°=(5m+3)°

7m-5m=3+13

2m=16

m=8°

Answer 2

m = 8

Explanation:

We have

XZ is the bisector of angle WXY.

This means that XZ divides angle WXY into two equal angles, angle WXZ and angle ZXY.

Therefore, we have the following equation:

angle WXZ = angle ZXY

We can also write this equation as:

m(angle WXZ) = m(angle ZXY)

Substitute the given value:

(7m-13)° = (5m+3)°

7m - 13 = 5m + 3

Subtract 5m from both sides:

7m - 13 - 5m = 5m + 3 - 5m

2m - 13 = 3

Add 13 to both sides:

2m - 13 + 13 = 3 + 13

2m = 16

Divide both sides by 2:

`\sf (2m)/(2)=(16)/(2)`

m = 8

Therefore, the solution to the equation is m = 8.