Library / /42 of 183

, 2016

Geometry Difficulty 1.2 Junior Find the answer Canada

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

Pick one

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 $85^{\circ}$ .

Want a route through all this instead of an archive? The track puts 2,444 problems in a working order, from Junior Challenge level to the IMO shortlist.

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