Question

1. A triangle has two interior angles with the measurement of 112° and 27°. What is the measurement of the third interior angle?

2. A triangle has two interior angles with the measurement of 62° and 67°. What is the measurement of the third interior angle?

Answer 1

Answers:

1. The missing angle is 41 degrees.
2. The missing angle is 51 degrees.

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Work Shown for Problem 1

The interior angles of any triangle always add to 180 degrees.

x+112+27 = 180

x+139 = 180

x = 180-139

x = 41 is the answer to problem 1.

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Work Shown for Problem 2

x+62+67 = 180

x+129 = 180

x = 180-129

x = 51 is the answer to problem 2.