Question

The measure of three angles of a triangle are in the ratio 5:3:1.
Find the measures of all the angles.​

Answer 1

The three angles of given triangle = 5x, 3x, x

By, Angle Sum Property:

5x + 3x + x = 180°

9x = 180°

x = 20°

The angles are :-

5x = 5 × 20 = 100°

3x = 3 × 20 = 60°

x = 20°

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Answer 2

Answer:

Step-by-step explanation:

Ratio of 3 angles is 5:3:1.

Let us assume 3 sides as 5x,3x,1x.

Sum of all 3 sides of a triangle is 180 degrees.

So,5x+3x+1x=180

9x=180

x=20.

5x=5(20)=100.

3x=3(20)=60.

1x=1(20)=20.

Therefore 3 angles of triangle are 100 degrees,60 degree,20 degrees.