Question

An angle measures 42° more than the measure of its supplementary angle. What is the measure of each angle?

Answer 1

Answer:

Smaller angle: 69 degrees

Larger angle: 111 degrees

Step-by-step explanation:

Supplementary angles= two angles that make up 180 degrees

x = smaller angle

x + x + 42 = 180            Add like terms

   2x + 42 = 180            Subtract 42 on both sides

            2x = 138            Isolate the variable by dividing 2 on both sides

              x = 69

x = smaller angle, 69 degrees

x + 42 = larger angle, 111 degrees

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