Question

Question 11
If the sum of two angles is greater than ${180}^{\circ }$, then which of the following is not possible for the two angles?
a) One obtuse angle and one acute angle
b) One reflex angle and one acute angle
c) Two obtuse angles
d) Two right angles

Answer 1

An acute angle is an angle whose measure is less than ${90}^{\circ }$.

A right angle is an angle whose measure is equal to ${90}^{\circ }$.

An obtuse angle is an angle whose measure is more than ${90}^{\circ }$ but less than ${180}^{\circ }$.

A reflex angle is an angle whose measure is more than ${180}^{\circ }$ but less than ${360}^{\circ }$.

Since it is given that the sum of two angles is greater than ${180}^{\circ }$.

So, those two angles can't be a right angle because the sum of two right angles is equal to ${180}^{\circ }$.