Question

two angles of a triangle are in the ratio 3 :5 . if the third angles is twice the larger scale,find the angle of the triangle

Answer 1

let the three angles be 3x, 5x and 10x

then according to question

3x+5x+10x=180

18x=180

x=10

3x=30

5x=50

10x=100

therefore the angles of the triangle are 30 degrees, 50 degrees and 100 degrees

Answer 2

Ratio of the two angles = 3 : 5

Define x:

Let x be the constant ratio:

one angle = 3x

2nd angle = 5x

3rd angle = 2(5x) = 10x

Solve x:

3x + 5x + 10x = 180

18x = 180

x = 10

Find the angles:

3x = 3(10) = 30

5x = 5(10) = 50

10x = 10(10) = 100

Answer: The three angles are 30°, 50° and 100°