Question

If two complementary angles are in the ratio 10 : 8, then the angles are: (a) 50°, 40° (b) 100°, 80° (c) 60°, 30° (d) 65°, 25°

Answer 1

Answer:

a) 50°, 40°

Step-by-step explanation:

10x+8x=90°

18x=90°

x=90°/18

x=5

10x= 10×5=50°

8x=8×5=40°

Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

If two complementary angles are in the ratio 10 : 8, then the angles are

(a) 50°, 40°

(b) 100°, 80°

(c) 60°, 30°

(d) 65°, 25°

EVALUATION

Here it is given that two complementary angles are in the ratio 10 : 8

Let the angles are 10x and 8x

Since sum of two complementary angles = 90°

Thus we have

10x + 8x = 90°

⇒ 18x = 90°

⇒ x = 5°

So we get

First angle = 10 × 5° = 50°

Second angle = 8 × 5° = 40°

FINAL ANSWER

Hence the correct option is (a) 50°, 40°

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