Question

if
angle and its complimenton angle are in a
ratio of 2:3 - thenthen the smalles angle?​

Answer 1

The angles are 36° and 54° respectively.

Step-by-step explanation:

Correct Question:

If the ratio between two complementary angles is 2:3, then find the angles.

Given:

• Complementary angles are in the ratio of 2:3.

To find:

• The angles.

Solution:

Let us assume the two angles as 2x and 3x respectively.

☯ Two angles are considered to be complementary angles if the sum of them is 90°.

Therefore,

⇒ 2x + 3x = 90°

⇒ 5x = 90°

⇒ x = 18°

Hence, the angles are:

• First Angle = 2x = 2 × 18 = 36°

• Second Angle = 3x = 3 × 18 = 54°

Answer 2

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To Solve:

• If angle and its compliment angle are in a ratio of 2:3 - then the smaller angle is

Given:

• Ratio: 2:3
• They complementary angles

Solⁿ:

• Let the angles be 2x, 3x
• Sum of the angles is 90° are called complementary angles.

Eqⁿ formed:

2x + 3x = 90°

5x = 90°

x = 90/5

x = 18°

★ Complementary angles:

2x = 18×2

2x = 36°

3x = 18×3

3x = 54°

We see, 2x = 36° is smaller angle.

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