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HELP ASAP!!!

The floor plan of a right-triangular-shaped room has two acute interior angle measurements of (128x) degrees and (51 - 50x) degrees. What are these measurements?

A. 26 degrees, 64 degrees

B. 26 degrees, 73 degrees

C. 17 degrees, 73 degrees

D. 17 degrees, 64 degrees

User Bixms
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1 Answer

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The measurements of the acute interior angles are

A. 26 degrees, 64 degrees

How to find the angle measures

The sum of the other angles, aside the right triangle is complementary

128x + (51 - 50x) = 90

collect like terms

128x - 50x = 90 - 51

78x = 39

x = 39/78

x = 1/2

Substituting to find the angles

angle A = 128x = 128 * 1/2 = 64 degrees

angle B = 51 - 50x = 51 - 50 * 1/2 = 51 - 25 = 26 degrees

User Mika Lammi
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