Question

If two complementary angles are in the ratio 13 : 5, then find the angles *
1 point
13 degrees, 5 degrees
45 degrees, 65 degrees
65 degrees, 25 degrees
65 degrees, 35 degrees​

Answer 1

Answer:

65 degree and 25 degree

Step-by-step explanation:

Let the angles be 13x and 5x

Sum of complementary angle is 90 degree

ATQ

13x+5x=90

18x= 90

X= 90/18

x = 5

Therefore,13x=13×5=65

5x= 5×5= 25

Answer 2

Given:

The two complementary angles are in the ratio 13:5

To find:

The two complementary angles.

• Complementary angles - When two angles make 90° when added. Then, the two angles are called complementary angles. The two angles in which sum is 90°.

So,

Let one angle be 13x°

And another angle be 5x°

Now,

According to the question,

⇒ 13x+ 5x = 90

⇒ 18x = 90

⇒ x = 90 ÷ 18

⇒ x = 5

∵The value of x is 5

Hence,

The one angle is 13x = 13*5 = 65°

Another angle is 5x = 5*5 = 25°

Therefore,

Option third is correct = 65 degrees, 25 degrees

- - - -

Verification:

Sum of the two angles equal to 90° or not

= 65° +25°  

= 90°

Verified