Question

triangle fgh is shown.
what is the measure, in degrees, of angle gfh?

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). So, \((6x + 4)+5x + 5x=180\).

Step2: Simplify the equation

Combine like terms: \(6x + 4+10x = 180\) → \(16x+4 = 180\).

Step3: Solve for \(x\)

Subtract 4: \(16x=176\). Divide by 16: \(x = 11\).

Step4: Find angle \(GFH\)

Angle \(GFH\) is \((6x + 4)^\circ\). Substitute \(x = 11\): \(6(11)+4=66 + 4=70\).

Answer:

70