Question

If a pair of complementary angle are in the ratio 3:7then find the bigger number

Answer 1

$3x + 7x = 90 \\ \\ 10x = 90 \\ \\ x = \frac{90}{10} \\ \\ x = 9 \\ \\ \pink{now} \\ \\ small \: \: \: angle \: \: 3x = 3 \times 9 = 27 \\ \\ large \: \: angle = 7x = 7 \times 9 = 63$

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Answer 2

Answer :-

• The larger angle is 63°.

Given :-

• Pair of complementary angles in the ratio 3 : 7.

To Find :-

• Larger angle.

Solution :-

• Put x in the ratio

→ Angles are

• 3x
• 7x

As we know that

Sum of two complementary angles is 90°.

• According to question :-

⇒ 3x + 7x = 90

⇒ 10x = 90

⇒ x = 90/10

⇒ x = 9

Put the value of x in the ratio

• First angle = 3x = 3 × 9 = 27°
• Second angle = 7x = 7 × 9 = 63°

Hence, the larger angle is 63°.