Question

if one angle of a triangle is 8t degree and othere angles are in the ratio of 2:3,find the angles.​

Answer 1

Answer:

Sum of angles of triangle =180°

80+2x+3x=180°

5x=180-80

x=100°÷5

x=20°

other angles are 40 and 60°

Answer 2

Correct Question :–

if one angle of a triangle is 80° and othere angles are in the ratio of 2 : 3, find the angles.

Answer :–

• Other angles are 40° and 60°.

Given :–

• One angle of a triangle = 80°.
• Other angles are in ratio = 2 : 3.

To Find :–

• The other two angles of a triangle.

Solution :–

Let,

• The first angle be 2x.

• The second angle be 3x.

We know that,

Sum of all angles of a triangle = 180°

I.e.,

→ $\angle1 + \angle2 + \angle3 = 180 \degree \: \:$ –––––(1)

Here the values are,

• $\angle1 = 2x$
• $\angle2 = 3x$
• $\angle3 = 80 \degree$

→ $2x + 3x + 80 \degree = 180 \degree$

→ $5x + 80 \degree = 180 \degree$

→ $5x = 180 \degree - 80 \degree$

→ $5x = 100 \degree$

→ $x = \dfrac{ \cancel{100} \degree}{ \cancel{5} \degree}$

→ $x = 20 \degree$

So, the angles are,

• First angle = 2x = 2 × 20° = 40°.

• Second angle = 3x = 3 × 20° = 60°.

Hence,

The other angles are 40° and 60°.

Check :–

Now, put all the values in equation (1).

Values are,

• First angle = 40°.
• Second angle = 60°.
• Third angle = 80°.

→ 40° + 60° + 80° = 180°

→ 100° + 80° = 180°

→ 180° = 180°

Since, The L.H.S. and the R.H.S. are equal.

So, the value of the other angles are 40° and 60° is correct.