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 \( \angle FGH = 90^\circ \), \( \angle JGH = 65^\circ \), and \( \angle FGJ = x^\circ \). So \( 90 = x + 65 \).

Step3: Solve for \( x \)

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

Answer:

\( 25 \)