Question

The three angles of a triangle are in the ratio 1: 2: 7. Find the measure of each angle.​

Answer 1

Answer:

Angles are in the ratio =1:2:3

Let the angles be x,2x,3x

Sum of angles =180

x+2x+3x=180

6x=180

x=30

∘

Hence, the angles are 30

∘

,60

∘

,90

∘

The triangle is a right angled triangle

Answer 2

Answer:

1x + 2x + 7x = 180 (because a triangle's angles add up to 180 degrees)

10x = 180

x = 180/10 = 18

Now,

1x = 1×18 = 18

2x = 2×18 = 36

7x = 7×18 = 126

The measures of each angles are 18, 36 and 126.