Question

if two times the measure of one angle is three times the measure of its complement find the angle
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Answer 1

Answer:-

Let the two angles be x and y.

Given:

2 times the measure of first angle = 3 times the measure of its complement.

→ 2x = 3y

→ x = 3y/2 -- equation (1)

Two angles are complement. That means, their sum is 90°.

→ x + y = 90°

Substitute the value of x from equation (1).

→ 3y/2 + y = 90

→ (3y + 2y) / 2 = 90

→ 5y = 90 * 2

→ y = (90 * 2)/5

→ y = 36°

Putting the value of y in equation (1) we get,

→ x = 3 * 36/2

→ x = 54°

Therefore,

• 1st angle = x = 54°

• 2nd angle = y = 36°.

Answer 2

Step-by-step explanation:

Assume that the two angles be x and y.

If two times the measure of one angle is three times.

As per given condition,

→ 2x = 3y

→ x = 3y/2 .............(1)

Also said that, the measure of the angles is complementary angle.

→ x + y = 90°

→ 3y/2 + y = 90°

→ (3y + 2y)/2 = 90°

→ 5y = 180°

→ y = 180°/5

→ y = 36°

Substitute value of y in (1)

→ x = 3(36°)/2

→ x = 3(18°)

→ x = 54°

Hence, the two angles are 54° and 36°.