Question

find the measure of the third exterior angle in this triangle. 75° 135° ?°

Explanation:

Step1: Recall the sum of exterior angles of a triangle

The sum of the exterior angles of any triangle is \(360^{\circ}\).

Step2: Set up the equation

Let the third exterior angle be \(x\). We know two exterior angles: \(75^{\circ}\) and \(135^{\circ}\). So, \(75 + 135+x=360\).

Step3: Solve for \(x\)

First, add \(75\) and \(135\): \(75 + 135=210\). Then the equation becomes \(210+x=360\). Subtract \(210\) from both sides: \(x = 360-210\).

Answer:

\(150^{\circ}\)