Question

Please help I don't understand this. (will mark brainliest)

Answer 1

That is an isosceles triangle since the 2 sides are the same length. If those 2 sides are the same length, by the Isosceles Triangle Theorem, the angles across from those sides are congruent to each other. That means that both those base angles measure whatever x is. According to the Triangle Angle-sum Theorem, the angles of a triangle all add up to equal 180. We have the vertex angle as 38 degrees, meaning that there is 180 - 38 degrees left to split between the 2 base angles. 180 - 38 = 142, and 142 divided in half is 71. x measures 71 degrees.

Answer 2

This is an isosceles triangle. So, the two angles that make up the base, x and the one to its right, are the same measure, since the two side lengths are equal.

First, it is important to understand that the sum of all angles in a triangle is alway 180 degrees. Hence, we can write an equation, knowing that x and the angle to its right are equal, and the sum has to be 180.

38 + 2x = 180
-38 -38

2x = 42
—- —-
2 2

x = 21

Therefore, x, as well as the angle to its right, both equal 21 degrees individually.

Hope this helps! :)