# A triangle is both isosceles and acute. If one angle of the triangle measures 36 degrees, what is the measure of the largest angle(s) of the triangle? What is the measure of the smallest angle(s) of the triangle?

##### 1 Answer

The answer to this question is easy but requires some mathematical general knowledge and common sense.

Isosceles Triangle:-

A triangle whose only two sides are equal is called an isosceles triangle. An isosceles triangle also has two equal angels.

Acute Triangle:-

A triangle whose all angels are greater than

Given triangle has an angle of

Now there are two possibilities for the angels.

Only one of the two above possibilities will be correct for this question.

Let's verify the two possibilities one by one.

Let the two equal angels be of

We know that the sum of all the three angels of a triangle is equal to

In possibility

Let the two equal angels be of

In this possibility the measures of the angels are

All the three angels are in the range of

Hence, the measures of largest and smallest angels are