Question

the measure of angle fgh is 80°. the measure of angle fgj is 55°. the measure of angle jgh is x°. find the value of x.

Explanation:

Step1: Use angle addition property

We know that \( \angle FGH=\angle FGJ+\angle JGH\).

Step2: Substitute the given values

Given \( \angle FGH = 80^{\circ}\), \( \angle FGJ=55^{\circ}\), and \( \angle JGH=x^{\circ}\). So, \(80 = 55+x\).

Step3: Solve for \(x\)

Subtract \(55\) from both sides of the equation: \(x=80 - 55\).

Answer:

\(x = 25\)