Question

in a triangle the ratio of angle is 3:7:5 find the measure of all angles​

Answer 1

Answer:

Step-by-step explanation:

the sum of all three angles in a triangle is 180 degrees

so lets take the angles as 3x,7x and 5x

so, 3x+5x+7x= 180 degrees

or, 15x = 180 degrees

or x = 180/15 = 12 degrees

so the values of angles are 36,60 and 84 degrees.

Answer 2

Required Answer :

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

Given :

• Ratio of the angles of a triangle = 3 : 7 : 5

To find :

• The measure of all angles

Solution :

Let the three angles of triangle be 3x, 7x and 5x.

where,

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

Using formula,

• Sum of interior angles of a polygon = (2n - 4) × 90°

where,

• n denotes the number of sides of the polygon

Triangle has 3 angles, 3 sides.

→ n = 3

Substituting the given values :

→ 3x + 7x + 5x = [2(3) - 4] × 90°

→ 15x = (6 - 4) × 90°

→ 15x = 2 × 90°

→ 15x = 180°

→ x = 180°/15

→ x = 12°

Substituting the value of ' x ' in the angles of triangle :

→ First angle = 3x

→ First angle = 3(12°)

→ First angle = 36°

→ Second angle = 7x

→ Second angle = 7(12°)

→ Second angle = 84°

→ Third angle = 5x

→ Third angle = 5(12°)

→ Third angle = 60°