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Q: What is the measure of angle A if angle B is 75 degrees and angle C is a 90 degree angle?

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15 degrees

It is: 15 degrees

105 degrees

In a parallelogram adjacent angles are supplementary, so angles are 75 degrees (A & C) and 105 degrees (B & D).

They are: 75 degrees + 15 degrees = 90 degrees

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15 degrees

180-75=105 degrees

It is 75 degrees

It is: 15 degrees

It is: 180-75 = 105 degrees

The sum of an angle and its complement is 90 degrees. So the unknown angle must be 90 - 75 = 15 degrees.

75 degrees

105 degrees

The supplementary angle of 57 degrees is 123 degrees The complementary angle of 75 degrees is 15 degrees So: 123 minus 15 = 108 degrees

180-105 = 75

105 degrees

The third angle is 68 degrees which makes it a scalene triangle

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