Question

The angle of a triangle are in the ratio 3:5:7.find the measur.e of each angle of a triangle

Answer 1

Step-by-step explanation:

Given, the ratio of a triangle = 3:5:7

Now, let x be the angles of the triangle, since, 3x + 5x + 7x = 180° [ angle sum property ]

or 15x = 180°

or. x = 180°/15 = 12 °

so, 3×12 = 36°, 5×12 = 60° , 7×12 = 84°

hence, the measure of each angle of a triangle.

Answer 2

Given :-

• The angle of a triangle are in the ratio 3:5:7.

To Find :-

• The measur.e of each angle of a triangle = ?

Answer :-

When the ratio of the angles is 3:5:7, we can represent the angles as 3x, 5x, and 7x.

Where,

• First angle = 3x
• Second angle = 5x
• Third angle = 7x

Since the measures of the angles of a triangle add to 180°, we can set up an equation.

➵ 3x + 5x + 7x = 180°

➵ 15x = 180

➵ x = 180 ÷ 15

➵ x = 12

Now to find the measures of each of our angles, we simply plug 12 back in for x.

• First angle = 3x = 3(12) = 36°
• Second angle = 5x = 5(12) = 60°
• Third angle = 7x = 7(12) = 84°

Hence,

• First angle = 36°
• Second angle = 60°
• Third angle = 84°