Question

find the measure of angle c
b 40°
c
a 120°
b c
c = ?° a = c =

Explanation:

Step1: Recall triangle angle sum property

The sum of the interior angles of a triangle is \(180^\circ\). Let the measure of angle \(C\) be \(x\). The known angles are \(\angle A = 120^\circ\) and \(\angle B = 40^\circ\). So we have the equation: \(120^\circ + 40^\circ + x = 180^\circ\)

Step2: Solve for \(x\)

First, calculate the sum of the known angles: \(120^\circ+ 40^\circ=160^\circ\). Then, subtract this from \(180^\circ\) to find \(x\): \(x = 180^\circ - 160^\circ = 20^\circ\)

Answer:

\(20\)