Two angles of a pentagon are in the ratio 2:3. The others are 60o each….

Correct Answer: Option D

Explanation

The diagram given simple illustrates that a pentagon contains three (Delta)s.
Two angles which are in the ratio 2:3 will have actual values 2x^o, 3x^o respectively. Thus 2x^o + 3x^o + 3 x 60 = 3x sum of angles of (Delta)a
i.e. 5x^o + 180^o = 3 x 180^o
5x^o + 180^o = 540^o
5x^o = 540^o – 180^o
5x^o = 360^o
x^o = (frac{360^o}{5})
= 72^o
Hence, the smaller of the two angles is
2 x 72^o = 144^o