An angle measures 56.4° less than the measure of its supplementary angle. What is the measure of each angle?

Question

Mathematics

Kenna

15 September, 08:45

An angle measures 56.4° less than the measure of its supplementary angle. What is the measure of each angle?

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Answers (1)

Know the Answer?

Jamya Chung · Answer 1

61.8 and 118.2

Step-by-step explanation:

Let's call one angle A and the other B. Supplementary angles add to 180, so A+B=180. If B=A+56.4, then we can rewrite the equation in terms of A, or A + (A+56.4) = 180 or 2A+56.4=180. To solve, first subtract 56.4 from each side and then divide by 2 to get A=61.8. Since the angle is supplementary, all we need to do to find B is subtract A (61.8) from 180 to get B=118.2.