Question

Given:
QRS is an isosceles triangle

< Q = < ?

Answer 1

(A)∠Q=∠R

Explanation:

Given: It is given that QRS is an isosceles triangle .

To find: The measure of the angle Q.

Solution: It is given that QRS is an isosceles triangle .

Now, As the two sides are equal in an isosceles triangle, therefore QS=RS.

Also, ∠Q=∠R as these are the angles made on the equal sides, and we know that the angles made on equal sides are always equal in measure, therefore the measure of the angle Q will be equal to the measure of the angle R.

thus, Option A is correct.

Answer 2

By definition, an Isosceles triangle is a triangle with having two and only two sides whose length are equal. This implies that it also have to angles (normally) the base angles which are equal.
From the given isosceles triangle our base angles are <Q and <R
therefore we conclude that:
<Q=<R

The answer is the first option