Question

two angles of triangle are in the ratio 2: 3 .the third angles is 50° . find other two angles​

Answer 1

Answer:

let the angles be 2x and 3x

third angle is 50°

then the sum of the unknown angles is 130°

accordingly,

3x+2x=130°

5x=130°

x=130°/5

x=26°

1st angle = 2*26= 52

2nd angle = 3*26=78

Answer 2

Answer

The other two angles are 52° and 78°.

Step-by-step explanation:

To Find :-

• The other angles of triangle.

★ Solution

Given that,

• The two angles of triangle are in the ratio of 2:3
• The measure of third angle = 50°

Let us assume the two ratio angles of triangle as 2x and 3x.

We know,

Sum of the interior angles of ∆ = 180°,

Therefore,

• 2x + 3x + 50° = 180°

⇒ 2x + 3x + 50 = 180

⇒ 5x + 50 = 180

⇒ 5x = 180 - 50

⇒ 5x = 130

⇒ x = 130/5

⇒ x = 26

The value of x is 26.

Now, The angles of the triangle are :-

• 2x = 2*26 = 52°
• 3x = 3*26 = 78°

Hence,

• The other two angles of triangle are 52° and 78°.

_______________________________

Now, V E R I F I C A T I O N :-

• 2x + 3x + 50 = 180

By simplifying the L.H.S [putting the value of angles] :-

⇒ 2x + 3x + 50

⇒ 52 + 78 + 50

⇒ 130 + 50

Now, L.H.S = R.H.S = 180

Hence, Verified!