Question

Find the value of x in the given figure​

Answer 1

Answer:

x = 28

hope this helps you

Answer 2

Given:

A triangle with

• $\sf \angle A = 5x - 60^\circ$

• $\sf \angle B = 2x + 40^\circ$

• $\sf \angle C = 3x - 80^\circ$

What To Find:

We have to find the value of x.

How To Find:

To find the value of x we will use one property of the triangle.

Property For Finding:

• Sum of Interior Angles of Triangle = 180°

Solution:

Using the property,

⇒ Sum of Interior Angles of Triangle = 180°

Substitute the angles,

⇒ $\sf \angle A \: + \angle B \: + \angle C = 180^\circ$

Substitute the angles,

⇒ (5x - 60)° + (2x + 40)° + (3x - 80)° = 180°

Remove the brackets,

⇒ 5x - 60 + 2x + 40 + 3x - 80 = 180°

Rearrange the like terms in LHS,

⇒ 5x + 2x + 3x - 60 + 40 - 80 = 180°

Solve the like terms,

⇒ 10x - 20 = 180°

Take 20 to RHS,

⇒ 10x = 180 + 20

Add 180 and 20,

⇒ 10x = 200

Take 10 to RHS,

⇒ $\sf x = \dfrac{200}{10}$

Divide 200 by 10,

⇒ x = 20°

∴ Thus, the value of x is 20°.