Question

Angle P and Q are complementary angles. If they are represented by the expression M angle Q = y and M angle P = 2y + 30, then their measures are a) 30 degrees and 60 degrees b) 45 degrees and 135 degrees c) 60 degrees and 30 degrees d) 90 degrees and 60 degrees

Answer 1

The question pertains to finding measures of complementary angles. The measures of angles P and Q, given that they are complementary and represented by the expressions M angle Q = y and M angle P = 2y + 30, are found to be 70 and 20 degrees respectively.

Step-by-step explanation:

The subject of this question is within the realm of Mathematics, specifically geometry. The question states that: 'Angle P and Q are complementary angles represented by the expressions M angle Q = y and M angle P = 2y + 30. In this instance, two angles are complementary if the sum of their measures equals 90 degrees.

So, we can setup the following equation: y + 2y + 30 = 90. Combine like terms: 3y + 30 = 90. Next, subtract 30 from both sides of the equation: 3y = 60. Finally, divide each side by 3 to solve for y: y = 20. To find the measure of angle P, substitute y = 20 into the expression for angle P: 2y + 30 = 2*20 + 30 = 70.

Hence, the measures of angles P and Q are 70 and 20 degrees respectively.

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