Question

An isosceles triangle has one angle with a measure of 30°. What could the measure of the other two angles be?

30° and 120°
30° and 30°
75° and 75°
30° and 100°

Answer 1

75,75 & 30,120

Step-by-step explanation:

There are two correct answers for this question.

A triangle always measures up to be 180 degrees. If one angle is measured at 30 degrees that means we have to find 150 degrees worth of angles.

180-30=150

30+120=150, so that one is correct.

30+30=60, so this one is incorrect.

75+75=150, so this one is also correct.

30+100=130, this one is incorrect.

That leaves you with two correct answers, (75,75) & (30,120).

I hope this helps<333

Answer 2

`\displaystyle 75°\:and\:75°`

Explanation:

Base angles are congruent in an isosceles triangles, therefore having this:

`\displaystyle 180° = 30° + 150° \Rightarrow 180° = 30° + 2[75°]`

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