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The sum of the measures of the angles of a triangle is 180 degrees. First, calculate the sum of the two known angles. Then subtract that result from 180. That difference is the measure of the third unknown angle.

Given: One angle of a triangle is 15 degrees and the second angle of the

triangle is 85 degrees.

To find: We need to find the third angle of the triangle.

Let the third angle of the triangle be x.

We know that the sum of the angles in a triangle is 180 degrees.

==> 15 degrees + 85 degrees + x degrees = 180 degrees.

==> 100 degrees + x degrees = 180 degress.

==> x = 180 degrees - 100 degrees.

==> x = 80 degress.

Therefore the third angle of the triangle is 80 degrees.

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16y ago

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