Question

the angle of a triangle are in the ratio 2 ratio 3 ratio 7 find the measure of each angle of the triangle

Answer 1

Ratio = 2 : 3 : 7

Define x:

Let x be the constant ratio

Ratio = 2x : 3x : 7x

Solve x:

Sum of the angles in a triangle is 180

2x + 3x + 7x = 180

12x = 180

x = 15

Find each angle:

2x = 2(15) = 30º

3x = 3(15) = 45º

7x = 7(15) = 105º

Answer: The angles are 30º,45º and 105º

Answer 2

let the angles be 2x ,3x and 7x

∴ 2x +3x+ 7x = 180  [ sum of the angles of a triangle = 180 degree]

∴ 12x = 180

x = 180 /12 =15

2x = 2 * 15 =30 degree ANS

3x = 3 *15 =45 degree ANS

7x = 7 * 15 = 105 degree ANS