The two angles adjacent to side BC are in the ratio 4 : 5 ⇒ \( \frac{4}{9} : \frac{5}{9} \) \(\therefore\) The measures of the two angles = \(180^\circ \times \frac{4}{9},\ 180^\circ \times \frac{5}{9}\) = \(80^\circ,\ 100^\circ\)

Q.The two angles adjacent to side BC are in the ratio 4 : 5 ⇒ \( \frac{4}{9} : \frac{5}{9} \) \(\therefore\) The measures of the two angles = \(180^\circ \times \frac{4}{9},\ 180^\circ \times \frac{5}{9}\) = \(80^\circ,\ 100^\circ\) (a) ₹ 900 (b) ₹ 1000 (c) ₹ 1100 (d) ₹ 1200

Answer: A

A : B = 2 : 3 = 4 : 6 B : C = 2 : 5 = 6 : 15 \(\therefore\) A : B : C = 4 : 6 : 15 \(= \cfrac{4}{25} : \cfrac{6}{25} : \cfrac{15}{25} \) [since 4 + 6 + 15 = 25] \(\therefore\) C’s share = \(1500 \times \cfrac{15}{25}\) rupees = ₹900.