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olasank [31]
3 years ago
5

Two complimentary angles are in the ratio 4:5 . find the angle

Mathematics
2 answers:
poizon [28]3 years ago
4 0

Answer:

40° and 50°

Step-by-step explanation:

Sum the parts of the ratio, 4 + 5 = 9 parts

Complementary angle sum to 90°

Divide 90° by 9 to find the value of one part of the ratio

90 ÷ 9 = 10° ← value of 1 part, thus

4 parts = 4 × 10° = 40°

5 parts = 5 × 10° = 50°

The angles are 40° and 50°

GREYUIT [131]3 years ago
3 0
40 degrees and 50 degrees because it will change by the ratio
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Please help me! Thank you!
BaLLatris [955]

Answer:p = 28.36

q = 31.78

Step-by-step explanation:

Considering the smaller right angle triangle, with 50° as the reference angle, the opposite side is q and the adjacent side is 55 - p

Applying the tangent trigonometric ratio which is expressed as

Tan θ = opposite side/adjacent side

Tan 50 = q/(55 - p)

1.1918(55 - p) = q - - - - - - - - - 1

Considering the bigger right angle triangle, with 30° as the reference angle, the opposite side is q and the adjacent side is 55

Applying the tangent trigonometric ratio which is expressed as

Tan θ = opposite side/adjacent side

Tan 30 = q/55

0.5774 = q/55

q = 55 × 0.5774

q = 31.757

Substituting q = 31.757 into equation 1, it becomes

1.1918(55 - p) = 31.757

65.549 - 1.1918p = 31.757

1.1918p = 65.549 - 31.757

1.1918p = 33.792

p = 33.792/1.1918

p = 28.36

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