Question

if two complimentary angles in the ratio 13:5 then the angle are respectively​

Answer 1

Answer:

130&50

Step-by-step explanation:

13x+5x=180

18x=180

x=10

(i)13x=13×10=>130

(ii)5x=5×10=>50

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Answer 2

Given:-

• Two supplementary angles are in ratio of 13:5.

To find:-

• Angles

Solution:-

Let, first angle be 13x

And second angle be 5x.

We know that,

Sum of two complementary angles is 90°.

So,

⇒13x + 5x = 90°

⇒18x = 90°

⇒x = 90°/5

⇒x = 5°

13x = (13×5)° = 65°

5x = (5×5)° = 25°

Verification:-

⇒13x + 5x = 90°

• Put 13x = 65° and 5x = 25°

⇒65° + 25° = 90°

⇒90° = 90°

Hence, Verified.

Therefore,

Angles are 65° and 25°