Question

What is the value of x? ? 21 21 Drawing not to scale 78 156 D787

Answer 1

We can find the value of x, by using the property of issoceles triangle:

A isosceles triangle is a triangle that has two sides of equal length.

In the given figure, triangle have two sides of equal length 21, thus the given triangle is issoceles.

Since, the angle opposite to the equal sides are equal,

so, the third angle of the given triangle is x

The sum of all angles in a triangle is equal to 180 degrees.

In the given figure : x, x & 34

`\begin{gathered} x\text{ + x +34=180} \\ 2x+34=180 \\ 2x=180-34 \\ 2x=146 \\ x=(146)/(2) \\ x=73 \end{gathered}`

So, x = 73º

Answer: D) 73º