Question

1) The angles of a triangle are in the ratio 3:2:7. Find each angle.
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Answer 1

Answer:

measure of 1st angle =45

measure of 2nd angle =30°

measure of 3rd angle = 105°

Step-by-step explanation:

let take common multiple be x.

so,measure of

1st angle = 3x

2nd angle =2x

3rd angle = 7x

sum of all angles of triangle =180°

3x + 2x + 7x =180°

12x =180°

x =180°/12

x= 15

so , measure of

1st angle = 3x =3×15=45°

2nd angle = 2x = 2×15 = 30°

3rd angle = 7x = 7×15= 105°

Step-by-step explanation:

Hope it helps you

Answer 2

let the required angle be 3x+2x+7x

3x+2x+7x=180degree (angle sum property)

12x=180

x=180/12

x=15 degree

3x=3×15=45 degree

2x=2×15=30 degree

7x=7×15=105 degree