flowergirl6828 flowergirl6828

08-12-2017
Mathematics

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The measure if one acute angle in a right triangle is 1 1/4 times the measure of the other acute angle. what is the measure of the larger acute angle?

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HomertheGenius HomertheGenius

18-12-2017

In a right triangle:
α + β = 90°
α = 5/4 β
------------------
5/4 β + β = 90°
9/4 β = 90°
β = 90° : 9/4 = 90° · 4/9 = 40°
α = 90° - 40° = 50°
Answer:
The measure of the larger acute angle is 50°.

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