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22-04-2019
Mathematics

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An exterior angle of an isosceles triangle has a measure of 110 degrees. Find two possible sets of measures for the angles of the triangle.

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26-04-2019

Answer:

40°, 70°, 70° . . . or . . . 55°, 55°, 70°

Step-by-step explanation:

If the given angle is exterior to one of the base angles, then that base angle must be 180°-110° = 70°. The other base angle will have the same measure, so the apex angle will be 180°-2·70° = 40°.

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If the given angle is exterior to the apex angle, that angle must be 70° and the base angles will each be 1/2 of 110°, or 55°.

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