Question

What is the value of x?

x = 23
x = 35
x = 58
x = 93

Answer 1

An exterior angle of a triangle is equal to the sum of the opposite interior angles

x= 35° + 58° = 93°

Answer 2

The correct option is 4.

Explanation:

According to the exterior angle theorem of triangle, the sum of two opposite interior angles of a triangle is equal to the exterior angle.

From the given figure it is clear that the two opposite interior angles are 35° and 58°.

`x^(\circ)=35^(\circ)+58^(\circ)`

`x^(\circ)=93^(\circ)`

`x=93`

The value of x is 93. Therefore the correct option is 4.