Question

Find the value of x in the figure is
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Answer 1

Solution :-

Writing the given information by observing the given figure

• Exterior angle = 100°
• Interior angles = ( x , 60° )

We need to find ,

• x from the following figure

Method of solving ,

• Exterior angle property :- Exterior angle = sum of two interior opposite angles .

Now , finding x using the given property ,

⇒ 100° = x° + 60°

⇒ 100° - 60° = x°

⇒ x = 40°

Note :- This property is only for triangles .

Hence , x = 40°

Answer 2

$\huge \purple A \purple N \purple s \purple W \purple e \purple \R:−$

Firstly :-

=> 100° + a = 180° 【 Linear pair of angles 】

=> a = 180° - 100°

=> a = 80°

Secondly :-

∠a = 80°

∠b = 60°

∠x = ?

Thirdly :-

Finding ∠x

=> ∠a + ∠b + ∠x = 180° 【 sum of all the angles of triangle are 180° 】

=> 80° + 60° + ∠x = 180°

=> 140° + ∠x = 180°

=> ∠x = 180° - 140°

=> ∠x = 40°

Hence , ∠x is 40°