Question

The angles of a triangle anein the ratio 3:5:7.Find measure of each angle of the triangle
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Answer 1

Answer:

Step-by-step explanation:

Here's the answer

Answer 2

Step-by-step explanation:

Given :

Ratio of the angles = 3 : 5 : 7

To find :

Measure of the angles

Solution :

Let the angles be -

• 3y
• 5y
• 7y

Sum of all the angles in a triangle = 180°

⇒ 3y + 5y + 7y = 180°

⇒ 8y + 7y = 180°

⇒ 15y = 180°

⇒ y = 180/15

⇒ y = 12°

★ 3y = 3(12) = 36°

★ 5y = 5(12) = 60°

★ 7y = 7(12) = 84°

$\therefore$ The angles are 36°, 60° and 84°

Verification:

Check whether the sum of all the angles is 180° or not.

⇒ 36 + 60 + 84 = 180

⇒ 96 + 84 = 180

⇒ 180 = 180

$\therefore$ The angles are 36°, 60° and 84°