Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

What is the value of x?

"A triangle is shown with two sides that each measure 21. The angle between the two sides is 38 degrees. One of the other base angles is labeled x degrees."

3 answers

two equal sides ... isosceles triangle ... base angles are equal

2 x = 180º - 38º
Looks like you have an isosceles triangle
so the two base angles must be x each, and
2x + 38 = 180

solve for x

btw, the fact that the sides are 21 is merely a distraction, the fact that
they were both 21 simply told us we had an isosceles triangle, and the
angle property was the key issue
Since the triangle has two equal sides, it is an isosceles triangle, therefore it will also have equal angles.
Since one of the angles is X, the other two angles will be 2X
2X + 38° = 180° ( sum of interior angles in a triangle)
2X = 180° - 38°
2X =142°
To get x we need to find the representing figure, we simply divide both sides by 2
2X/2 = 142/2
X = 71°