Question

angle fgh is a right angle. the measure of angle jgh is 65°. the measure of angle fgj is x°. what is the value of x? x =

Explanation:

Step1: Identify the right angle

Angle \( FGH \) is a right angle, so \( \angle FGH = 90^\circ \).

Step2: Use angle addition

We know \( \angle FGH=\angle FGJ + \angle JGH \). Substitute \( \angle FGH = 90^\circ \) and \( \angle JGH = 65^\circ \) into the equation: \( 90^\circ=x + 65^\circ \).

Step3: Solve for \( x \)

Subtract \( 65^\circ \) from both sides: \( x=90^\circ - 65^\circ=25^\circ \).

Answer:

\( 25 \)