Question

In AQRS, m_ Q = 80º, m2 R = 65°, and m2 S = 35º. Which side of AQRS is the
longest?

Answer 1

We cannot draw any quadrilateral with these angles. So, we cannot find the longest side.

Explanation:

Given,

The angles of AQRS are

m∠Q = 80°

m∠R = 65°

m∠S = 35°

We know that the sum four angles of a quadrilateral is 360°

According to the problem,

∠A+∠Q+∠R+∠S =360°

or, ∠A = 360° - (80°+65°+35°) [ by putting the values of the angles]

or, ∠A = 180°

As per the calculation we cant draw any quadrilateral of having an angle of value 180°. So we cannot find the longest side.