Question

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What is the third angle of a right triangle if one of the angles measures 51.1°?

Answer 1

m∠3 = 38.9°

Explanation:

If all three angles of a triangle adds up to 180° (Triangle Sum Theorem), it is a right angle (meaning that one of the angle measures is 90°), and m∠1 = 51.1°, then:

m∠1 + m∠2 + m∠3 = 180° (Triangle Sum Theorem)

51.1° + 90° + m∠3 = 180° (Substitution Property of Equality)

141.1° + m∠3 = 180° (Addition Property of Equality)

m∠3 = 38.9° (Subtraction Property of Equality)