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Problem 173

Geometry Difficulty 1.2 Multiple choice CEMC Gauss (Grade 7) · Canada · 2016

The measures of two angles of a triangle are $25^{\circ}$ and $70^{\circ}$ . The measure of the third angle is

Pick one

Official solution

The measure of the three angles in any triangle add to $180^{\circ}$ .

Since two of the angles measure $25^{\circ}$ and $70^{\circ}$ , then the third angle in the triangle measures $180^{\circ}-25^{\circ}-70^{\circ}=85^{\circ}$ .

The measure of the third angle in the triangle is $85^{\circ}$ .

Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.