Question

One angle of a triangle is 78degree and the other angles are in the ratio 7 : 10 .find their measures.​

Answer 1

Answer:

One angle of a triangle is 78degree and the other angles are in the ratio 7 : 10 .find their measures.

Answer 2

Answer:

1) 42°

2) 60°

Step-by-step explanation:

Given : Measure of angle = 78°

and other angles in ratio = 7 : 10

Solution's : Let the angles in ratio be x

⇒7x and 10x

We know that sum of angles of triangle is equal to 180°.

∴ 78°+7x+10x = 180°

78°+17x = 180°

17x = 180°- 78°

17x = 102°

x = 102/17

x = 6 .

NOW

7x = 7×6 = 42°

and

10x = 10×6 = 60°

Hence the angles are

42° and 60°