Question

Construct a triangle with angles 105° and 95° and a side of length of your choice. Could you construct the triangle ? Discuss and justify

Answer 1

Let PQ = 5 cm, ∠P = 105°, ∠Q = 95°

We cannot construct a triangle with these measurements. This is because, the sum of three angles in a triangle is 180°. But the sum of the given two angles itself is greater than 180°. That is 105° + 95° = 200° > 180° 

So, it is not possible to construct a triangle with angles 105° and 95°.