# In triangle PQR, the measure of angle P is 36 degrees. The measure of angle Q is five times the measure of angle R. How do you find the measurement of angle Q and the measurement of angle R?

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"the sum of measures of these three angles of any triangle is invariably equal to the straight angle, also expressed as 180°"

From the problem we can write:

We can also write from Geometry, the sum of the three angles is 180 degrees, or:

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To find the measurement of angle Q, multiply the measure of angle R by 5. To find the measurement of angle R, subtract the measure of angle P from 180 degrees, then divide the result by 6.

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