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PLEASE HELP!

one angle of an isosceles triangle measures 140 degrees. what measures are possible for the other two angles? choose ALL that apply.

a) 20 degrees
b) 140 degrees
c) 40 degrees
d) 80 degrees

PLEASE SHOW WORK!!! :,)

1 Answer

4 votes

Answer:

a) 20 degrees

Explanation:

An isosceles triangle is a triangle that consists of two angles of equal size and one angle of different size. Along with this, all triangles have a total of 180 degrees.
For this problem, we can assume that the angle given is either the individual one or part of the pair. When it's a part of the pair, those two angles alone add up to 360, so it cannot be a part of the pair.
If the angle is the individual one, then the total of the other two angles would be 180-140, or 40. We can divide this by two to find the size of each angle individually, giving us 20 degrees. Thus, the only possible answer is a) 20 degrees.

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