Question

An isosceles triangle has an angle that measures 94º. Which other angles could be in that

isosceles triangle? Choose all that apply.
43°
8°
81°
59°

Answer 1

43°

Explanation:

In a isosceles triangle, two angles HAVE to be equal.

This means that 94 can be one of the angles that are equal, or the angle that is not equal to another angle.

Let's start with the fact that 94 can be one of the angles that are equal. (Note: angles in a triangle add up to 180)

94+94+x=180

188+x=180

There is NOT a possible value for x in this situation, as you cannot have a negative value of an angle. Therefore we must try the other situation where 94 is the angle that is not equal to another angle.

x+x+94=180

2x+94=180

Subtract 94 from both sides

2x=86

Divide both sides by 2

x=43

Therefore the answer is 43°