If the measure of an angle is p is three times less than twice the measure of angle q and angle p and angle q are supplementary angles, find each angle measure

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Mathematics

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13 December, 07:08

If the measure of an angle is p is three times less than twice the measure of angle q and angle p and angle q are supplementary angles, find each angle measure

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Orion Evans · Answer 1

60 * 3 = 180 and 90 * 2 = 180

if they are supplementary angles than they equal 180 together.

angle p is three times less than twice the measure of angle q so that means 180/3 = angle p and 180/2 = angle q.

Angle q is 90 and twice that is 180 and Angle p is 60 and three times that is 180

so 60 is three times less than twice the measure of 90.

60 three times is 180 and 90 twice is 180 which means 3p = 2q and you have 180 because they are supplementary angles so you have really 180/3 = p and 180/2 = q

The answer is p = 60 and q = 90