Question

in the diagram below, fv bisects ∠agd and m∠agd = 152°. find m∠fgd. you may assume lines that appear straight are straight, but the figure is not otherwise drawn to scale. answer m∠fgd =

Explanation:

Step1: Recall angle - bisector property

An angle - bisector divides an angle into two equal parts.

Step2: Calculate m∠FGD

Since FG bisects ∠AGD and m∠AGD = 152°, then m∠FGD=\frac{1}{2}m∠AGD.
m∠FGD=\frac{1}{2}\times152^{\circ}=76^{\circ}

Answer:

76°