98.8k views
2 votes
What is the value of x in the figure shown?

What is the value of x in the figure shown?-example-1
User Gerdtf
by
4.6k points

1 Answer

0 votes

Answer:

66°

Explanation:

In a triangle, if one side is extended, an exterior angle is formed at the vertex where the side is extended

This exterior angle is the sum of the interior angles

Here the angle with measure 104° is the exterior angle

The interior angles are x and the one with meaure 38

So x + 38 = 104

⇒ x = 104 - 38 = 66°

User Hbabbar
by
5.2k points