Question

find value of x in following figure

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Answer 1

Solution :-

Here both the angles are in straight line, so their sum will be 180°.

=> ( 2x + 60° ) + ( 3x - 40° ) = 180° .

=> 2x + 3x + 60° - 40° = 180°.

=> 5x + 20° = 180° .

=> 5x = 180° - 20° .

=> 5x = 160°.

=> x = 160°/5.

=> x = 32° .

Hence the value of x is 32° .

★More to Know :-

When two parallel lines are intersected by a transversal then,

• Alternate interior angles are equal.
• Alternate exterior angles are equal.
• Corresponding angles are equal.
• Sum of co-interior angles is 180° .