What is the value of x?

Question

asked Aug 15, 2020 121k views

2 Answers

Igor Antonov · Answer 1 · 2020-08-16T05:45:08+0000

Answer:

82

Explanation:

triangle adds upto 180 degrees

180 - (53+45) = 98

Then two lines adapt to 180 degrees

therefore, 180 -98 = 82

Brian HK · Answer 2 · 2020-08-21T01:51:28+0000

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