Question

plz answer this question​

Answer 1

GiveN:-

Two angles of a triangle are in the ratio 2:3 and the third angle is 60°.

To FinD:-

The other two angles.

SolutioN:-

We know that all angles of a triangle sum up to 180°.

So,

• Let the other two angles be 2x and 3x.
• Third angle = 60°

According to the question,

$\large\implies{\sf{2x+3x+60\degree=180\degree}}$

$\large\implies{\sf{5x=180-60}}$

$\large\implies{\sf{5x=120}}$

$\large\implies{\sf{x=\dfrac{120}{5}}}$

$\large\implies{\sf{x=\dfrac{\cancel{120}}{\cancel{5}}}}$

$\large\therefore\boxed{\bf{x=24.}}$

The angles are:-

1. 2x = 2 × 24 = 48°
2. 3x = 3 × 24 = 72°
3. 60°

VerificatioN:-

$\large\implies{\sf{48\degree+72\degree+60\degree=180\degree}}$

$\large\implies{\sf{180\degree=180\degree}}$

$\large\therefore\boxed{\bf{LHS=RHS.}}$

The other two angles are 48° and 72°.