Question

What is the value of x

Answer 1

x= 98

First, you have to find what the third angle is so;
180-53-45=82
The third angle in 82.
A straight line is 180º. So you need to subtract 180-82 to get 98.

Hope this helps!! :)

Answer 2

Answer: The required value of x is 98.

Step-by-step explanation: We are given to find the value of x from the given figure.

From the figure, we note that

the angles with measures 53° and 45° are remote interior angles of the triangle FGH and he angle with measure x° is the exterior angle.

We know that

the measure of an exterior angle of a triangle is equal to the sum of the measures of two remote interior angles.

Therefore, we get

`x^\circ=53^\circ+45^\circ=98^\circ\\\\\ighatrrow x=98.`

Thus, the required value of x is 98.