Question

Find the value of x in the triangle listed here. If you could show me the steps, I would appreciate it.

Answer 1

Answer:

71°

Step-by-step explanation:

The triangle shown is an isosceles triangle. Isosceles triangles have two equal sides and two equal angles. When all 3 angles are added, it should have a sum of 180°. The tip of the triangle is the part of the triangle with the smallest degree/angle. So the two remaining angles are the same amount.

180°=38°+x+?

180°=38°+71°+71°

Both missing angles are the same degree, and when both are added to 38, it has a sum of 180. x is equal to 71°.

Answer 2

71 degrees. Reasoning: all the angles of a triangle added together always equal 180 degrees. The angle we do know is 38 degrees, so the other two must equal 142 degrees. As you can see, the two angles have the same degrees, so we can divide the 142 in half, to get 71 degrees.