Question

given a triangle with angle measures of 40° and 70°, which is the measure of the third angle?
○ 60°
● 70°
○ 80°
○ 90°

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\).

Step2: Let the third angle be \(x\)

Set up the equation: \(40^\circ + 70^\circ + x = 180^\circ\).

Step3: Solve for \(x\)

First, calculate \(40^\circ + 70^\circ = 110^\circ\). Then, \(x = 180^\circ - 110^\circ = 70^\circ\).

Answer:

70° (corresponding to the option with 70°)