Question

if complementary angle are in the two ratio 13:5, then the angle are​

Answer 1

AnswEr

Complementary angle are in the ratio of 13:5

Let's consider that the angle be 13x and 5x

We know that,

Sum of complementary angles is 90°.

$:\implies\sf 13x + 5x = 90^{\circ}\\\\\\:\implies\sf 18x = 90^{\circ} \\\\\\:\implies\sf x = \cancel\dfrac{90}{18} \\\\\\:\implies\boxed{\frak{\purple{x = 5}}}$

Here, we get value of x is 5.

$\bigstar$ Now, finding other two angles:

$:\implies\sf 13x \\\\\\:\implies\sf 13 \times 5\\\\\\:\implies\boxed{\frak{\pink{65^{\circ}}}}$

$:\implies\sf 5x \\\\\\:\implies\sf 5 \times 5\\\\\\:\implies\boxed{\frak{\pink{25^{\circ}}}}$

$\therefore$ Required angles are 65° & 25°.

Answer 2

Answer :-

• The angles are 65° and 25° respectively.

Given :-

• Complementary angles are in the ratio 13 : 5.

To Find :-

• Those angles.

Solution :-

Put x in the ratio.

Then angles will be

• 13x
• 5x

As we know that

Sum of complementary angles is 90°.

According to question :-

13x + 5x = 90°

→ 18x = 90°

→ x = 90/18

→ x = 5

Put the value of x in the ratio

Now, angles are

• 13x = 13 × 5 = 65°
• 5x = 5 × 5 = 25°

Hence, the angles are 65° and 25° respectively.