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The acute angles of a right triangle are in the ratio of 7:11. Find the measure of each angle.

A) 25, 65, 90

B) 35, 55, 90

C) 25, 155

D) 35, 145

Respuesta :

amna04352

Answer:

B

Step-by-step explanation:

Since it's a right angle triangle, one angle has to be 90.

Total angle in a triangle = 180

Other two should add up to 90.

7/18 × 90 = 35

11/18 × 90 = 55

Tbe angles are 35°, 55° and 90°

Hrishii

Step-by-step explanation:

Let the common multiplier of the given ratios be x.

Therefore measures of acute angles will be 7x and 11x.

[tex] \therefore \: 90 \degree + 7x + 11x = 180 \degree \\ \\ \therefore \: 18x = 180 \degree - 90 \degree \\ \\ \therefore \: 18x = 90 \degree \\ \\ \therefore \: x = \frac{90 \degree }{18} \\ \\ \therefore \: x = 5\degree \\ \\ \therefore \: 7x = 7 \times 5\degree = 35\degree \\ \& \: 11x = 11 \times 5\degree = 55\degree [/tex]

Hence, measure of each angle of right triangle are 35°, 55°, 90°.

Thus, option B is the correct answer.

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