Question

find the measure of angles JGH. Explain or show your reasoning

Answer 1

JGH is equal to 150degrees because angle JGF is 30degrees 180 - 30 = 150

Answer 2

Answer:  The required measure of angle JGH is 150°.

Step-by-step explanation:  We are given to find the measure of angle JGH.

From the figure we note that

FH is a straight line and JG is a ray on line FH, thereby making angle FGH to be a straight angle.

So, angles JGF and JGH makes a linear pair.

Also, m∠JGF = 30°.

Therefore, we get

$m\angle JGF+m\angle JGH=180^\circ\\\\\Rightarrow m\angle JGH=180^\circ-30^\circ\\\\\Rightarrow m\angle JGH=150^\circ.$

Thus, the required measure of angle JGH is 150°.