High School

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------------------------------------------------ Two angles of a triangle have measures of 75 degrees and 62 degrees. What is the measure of the third angle?

A. 63 degrees
B. 23 degrees
C. 83 degrees
D. 43 degrees

Answer :

9514 1404 393

Answer:

D. 43 degrees

Step-by-step explanation:

The sum of angles in a triangle is 180°. If x represents the measure of the third angle, then ...

75° +62° +x = 180°

137° +x = 180° . . . . . . . . . collect terms

x = 180° -137° = 43° . . . . subtract 137° from both sides of the equation

The third angle measures 43°.

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