Question

What is the value of x?

Answer 1

82

Explanation:

triangle adds upto 180 degrees

180 - (53+45) = 98

Then two lines adapt to 180 degrees

therefore, 180 -98 = 82

Answer 2

For this case we have that the sum of the interior angles of a triangle is 180 degrees.

So:

`G + 45 + 53 = 180\\G = 180-45-53\\G = 82 \ degrees`

Thus, the angle of the vertex G of the triangle is 82 degrees.

Now, we must find the exterior angle x.

We know that, by definition:

`x + 82 = 180\\x = 180-82\\x = 98`

So, the angle
`x = 98`

Answer:

98