Question

find the measure of 4x
135°
39°
m∠4x = □°

Explanation:

Step1: Use exterior - angle property

The exterior - angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(135^{\circ}=x + 39^{\circ}\).

Step2: Solve for \(x\)

Subtract \(39^{\circ}\) from both sides of the equation: \(x=135^{\circ}-39^{\circ}=96^{\circ}\).

Step3: Find the measure of \(4x\)

Multiply the value of \(x\) by 4: \(4x = 4\times96^{\circ}=384^{\circ}\).

Answer:

\(384^{\circ}\)