Question

interior and exterior angles of a triangle
andrew colella

multiple - choice question

choose a method to solve this. what is
the measure of angle c?

35 degrees

180 degrees

145 degrees

Explanation:

Step1: Recall the triangle angle - sum property

The sum of the interior angles of a triangle is \(180^{\circ}\). Let \(\angle A = 50^{\circ}\), \(\angle B=95^{\circ}\), and \(\angle C\) be the unknown angle. Then \(\angle A+\angle B + \angle C=180^{\circ}\).

Step2: Solve for \(\angle C\)

Substitute the values of \(\angle A\) and \(\angle B\) into the formula: \(\angle C=180^{\circ}-\angle A - \angle B\).

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Answer:

35 degrees