Question

6
$overrightarrow{bd}$ is an angle bisector. find $m\angle hgi$
type your answer in the space below

Explanation:

Step1: Set angles equal (bisector property)

$6x = 5x + 5$

Step2: Solve for x

$6x - 5x = 5 \implies x = 5$

Step3: Substitute x into ∠HGI formula

$m\angle HGI = (5x + 5)^\circ = (5(5) + 5)^\circ$

Step4: Calculate final angle value

$25 + 5 = 30$

Answer:

30