Question

in adjecent figure, ray OP and OQ are on a line. If, x:y = 2:3 find x and y​

Answer 1

IN A STRAIGHT LINE

SUM OF ALL ANGLES = 180°

x = 2a

y = 3a

2a + 3a + 40° = 180°

5a + 40° = 180°

5a = 180 - 40

5a = 140

a = 140/5

a = 28°

x = 2a = 2(28) = 56°

y = 3a = 3(28) = 84°