Question

In figure the value of x is
110°
120°
(a) 120
(b) 130°
(c) 110
(d) 100​

Answer 1

Answer:

(b) 130

The sum of all the exterior angles of a triangle is 360°.

Given:

x + 110° + 120° = 360°

or, x = 360° - 230°

or, x = 130°

Answer 2

Given : Exterior angles of  a triangle

To Find : Value of x

Solution:

Sum of all the exterior angles of a polygon is 360°.

Hence

x + 110° + 120°   = 360°

=> x + 230° = 360°

=> x = 130°

Another Method :

Linear pair is 180°

Interior angle of 120°   is 180° - 120° = 60°

Interior angle of 110°   is 180° - 110° = 70°

Exterior angle of Triangle = Sum of opposite two interior angles

=> x = 60° + 70°

=> x = 130°

Hence Value of x is 130°

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