Question

Calculate the value of each angle from the given figure​

Answer 1

Required Answer:

Here as we can see 130° is an exterior opposite angle

And we know:

• Exterior opposite angle = Sum of interior opposite angles

• 130° = x + x

• 130° = 2x

• 130°/2 = x

• 65° = x

.°. value of x = 65°

Verification:

• 130° = x + x

put value of x in this equation

• 130° = 65° + 65°

• 130° = 130°

• 130° - 130°=0°

• 0° = 0°

LHS = RHS

Hence verified!

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Alternatively method :

Let angle ∠ABC = ∠1

We know:

• ∠1 + 130° = 180°

Reason:-

Linear pair

• ∠1 = 180° - 130°

• ∠1 = 50°

Now as we know sum of angles of triangle = 180°

• .°. ∠1 + x + x = 180°

• ∠1 + 2x = 180°

• 50° + 2x = 180°

• 2x = 180° - 50°

• 2x = 130°

• x= 130°/2

• x = 65°

.°. value of x = 65°

$\tiny \mathbb{HAPPY \: LEARNING } \ddot{ \smile}$