DespresAu
Dec 25, 2020

answers: 1

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Answer:

Required Solution:

We can find the value of x is two ways:

First method (By exterior angle property)Given:

- The two interior opposite angles = and

- Measure of exterior angle =

To calculate:

- Measure of x.

Calculation:

We know that,

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

→

→

→ [Ans...]

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬Second method (Angle sum property and by linear pair)Given:

- Measure of two interior angles = and

- Measure of exterior angle =

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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335

Izidora

Dec 25, 2020

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