Question

What is the value of x?

Answer 1

x=71

Explanation:

Because of the side being marked 27, you know that the triangle is an isosceles triangle. That means that the other 2 angles would be congruent. To find the sum of the remaining angles, you need to subtract 38 by 180 degrees. (All of the angles in a triangle add up to 180) 180-38=142. Since we already know that the two remaining angles will be congruent, you take 142 and divide by 2 to get the final answer 71.

Answer 2

x = 71°

Explanation:

The triangle is clearly an isosceles triangle.

We know that all interior measures of a triangle must add up to 180°.

So: 180° - 38° = 142°

Because it is an isosceles triangle, the other two missing angles must be equal.

142° ÷ 2 = 71°