Question

find the number of degrees in the third angle of the triangle. the measure of the missing angle is □°.

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. Let the three angles of the triangle be \(A = 40^{\circ}\), \(B=70^{\circ}\), and \(C\) (the unknown angle). So, \(A + B+C=180^{\circ}\).

Step2: Solve for the unknown angle \(C\)

We can rewrite the equation as \(C = 180^{\circ}-(A + B)\). Substitute \(A = 40^{\circ}\) and \(B = 70^{\circ}\) into the equation: \(C=180-(40 + 70)\). First, calculate the sum inside the parentheses: \(40+70 = 110\). Then, \(C=180 - 110=70^{\circ}\).

Answer:

70