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An angle measures 51.4° less than the measure of its complementary angle. What is the measure of each angle?

User Jstrong
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1 Answer

5 votes

Answer:

70.7 deg, 19.3 deg

Explanation:

The sum of the measures of complementary angles is 90 deg.

One angle measures x.

The other angles measures 51.4 deg less than x, or x - 51.4.

The sum of their measures equals 90.

x + x - 51.4 = 90

2x - 51.4 = 90

2x = 141.4

x = 70.7

x - 51.4 = 70.7 - 51.4 = 19.3

Answer: 70.7 deg, 19.3 deg

User Marivic
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