Question

Q.15 Find the value of x in the given figure.​

Answer 1

Answer:

The Correct Answer is mentioned below

Step-by-step explanation:

A linear pair of angles is a pair of neighbouring angles created when two lines cross each other in geometry. When two angles share a common vertex and arm but do not overlap, adjacent angles are generated. Because they form on a straight line, the linear pair of angles is always supplementary. In other words, in a linear pair, the total of two angles is always 180 degrees.

The sum of a triangle's two opposite non-adjacent interior angles equals the triangle's outer angle. 180o is equal to the sum of the outside angle and the neighbouring inside angle that is not opposite.

Angle ABC will be:

Angle ABC + 110 = 180

Angle ABC = 70

Now,

By Using External Angle Property,

Angle ABC + Angle BAC = x

70 + 30 = x

110 = x