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mars1129 [50]
3 years ago
13

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 t

he larger acute angle?
Mathematics
1 answer:
Rom4ik [11]3 years ago
8 0
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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