Question

angle fgh is a right angle.
the measure of angle fgj is 60°.
the measure of angle jgh is x°.
what is the value of x?

Explanation:

Step1: Use the property of right - angle

We know that \(\angle FGH = 90^{\circ}\), and \(\angle FGH=\angle FGJ+\angle JGH\).

Step2: Substitute the known values

Given \(\angle FGJ = 60^{\circ}\) and \(\angle JGH=x^{\circ}\), substituting into the equation \(\angle FGH=\angle FGJ+\angle JGH\), we get \(90 = 60 + x\).

Step3: Solve for \(x\)

Subtract 60 from both sides of the equation \(90 = 60 + x\). So \(x=90 - 60\).

Answer:

\(30\)