Question

Find angle O
A. 49
B. 59
C. 63
D. 78

Answer 1

A. 49 deg

Explanation:

In a triangle, if two sides are congruent, then their opposite angles are congruent.

OP = QP; therefore, m<Q = m<O.

m<O = m<Q = 49 deg

Answer 2

The correct answer option is A. 49.

Explanation:

We know the length of the two sides: OP = 4 and PQ = 4.

Since two of the sides in the triangle are same, it is an isosceles triangle.

So, according to the properties of an isosceles triangle, the angles which are opposite to the sides with same length are also equal, therefore the angle OR is also equal to 49 degrees.