Question

0.11. The three angles of a triangle are in the ratio 1:2:1. Find all the angles of the triangle
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Answer 1

Step-by-step explanation:

let the common multiple be x.

therefore the three angles will be x,x and 2x.

sum of all angles of a triangle is 180 degrees.

therefore,

x + x + 2x=180

4x = 180

x =180/4

x = 45

therefore, x=45 and 2x=90

the angles of the triangle are 45,45,90 degrees.

Hope its helpful, pls thank:)

Answer 2

Answer:

All the three angles of the triangle are 45°, 90°, 45°.

Step-by-step explanation:

Three angles of a triangle are in the ratio 1:2:1 (Given)

Sum of the ratios = 1+2+1 = 4

We know that the sum of all the angels of the triangle is 180°.

Angle can be find by the formula

(ratio / total sum of ratio) × sum of all angles of triangle

First angle of the triangle = (1/4) × 180° = 45°

Second angle of triangle = (2/4) × 180° = 90°

Third angle of the triangle = (1/4) × 180° = 45°