Question

One angle of a triangle is 60 degrees .The,other two angles are in the ratio of 5:7 find the two angles

Answer 1

Answer:

One angle of a triangle is 60 degree the other two angles are in ratio 5:7. The two angles are 50° and 70

Step-by-step explanation:

- Measure of one of the angle of a triangle = 60°.

- Other two angles are in the ratio 5:7

- Let the other two angles be 5x and 7x.

- So, we know the sum of the angles of a triangle is 180°.

then, 5x+7x+60° = 180°

12x+60° = 180°

12x = 180° - 60°

12x = 120°

x = 120/12

x = 10°

so, the measure of other two angles will found by putting the value x = 10 is :-

=5x = 5*10 = 50°

And, 7x = 7*10 = 70°

Hope it helps you!

Answer 2

Answer:

The other two angles are 50° and 70°

Step-by-step explanation:

Given :

• One angle of a triangle = 60°

• Other 2 angles are in the ratio of 5:7

To find :

• Other 2 angles

Solution :

Let,

The other angles of triangle (I) = 5x

The other angles of triangle (II) = 7x

⇒ 5x + 7x + 60° = 180°

⇒ 12x + 60 = 180

⇒ 12x = 180 - 60

⇒ 12x = 120

⇒ x = 120 / 12

⇒ x = 10

★ Value of 5x :

⇒ 5 (10)

⇒ 5 × 10

⇒ 50

★ Value of 7x :

⇒ 7 (10)

⇒ 7 × 10

⇒ 70

Therefore,

The other two angles are 50° and 70°