Question

find the value of x by step by step explanation​

Answer 1

Required Solution:

We can find the value of x is two ways:

First method (By exterior angle property)

Given:

• The two interior opposite angles = $80°$ and $x$

• Measure of exterior angle = $120°$

To calculate:

• Measure of x.

Calculation:

We know that,

• Sum of two interior opposite angles = Exterior angle of ∆

→ $80° +x = 120°$

→ $x = 120°-80°$

→ $x = 40°$ [Ans...]

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Second method (Angle sum property and by linear pair)

Given:

• Measure of two interior angles = $80°$ and $x$

• Measure of exterior angle = $120°$

To calculate:

• Measure of x.

Calculation:

Third interior angle of ∆ :–

→ 180° - 120° [By linear pair]

→ 40° [Third interior angle of ∆]

Now,we know that

• Sum of interior angles of ∆ = 180°

→ 80° + x° + 40° = 180°

→ 120° + x = 180°

→ x = 180° - 120°

→ x = 40°

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Answer 2

Answer :-

Value of x = 40°

Explanation :-

Given :

• Two interior angles = 80° and x°

• Exterior angle = 120°

To Find :

• Value of x.

Solution :

First, Let's Calculate Third interior angle.

⇢ Third interior angle = 180° - 120° (Linear pair)

⇢ Third interior angle = 40°

And, we know that,

Sum of all angles of ∆ = 180°

Put the Values.

⇢ 80° + 40° + x = 180°

⇢ 120° + x = 180°

⇢ x = 180° - 120°

⇢ x = 40°

Therefore, Value of x = 40°