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Describing Angles

Describing Angles 1.4 - Solution

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Vertical angles are formed by two intersecting lines, so we should look for intersecting lines on the diagram. One possibility, along with the corresponding vertical angle pairs, is highlighted on the diagram below.

It appears that is obtuse, but can this be guaranteed based on the information given on the diagram? Notice that the marker at indicates that is perpendicular to

This perpendicularity means that triangle is a right triangle, so it can be assumed that is acute. Since and are supplementary angles, this also means that is obtuse. Hence, and are two obtuse vertical angles.