Question

The consecutive angles of a parallelogram are in the ratio 2is to 3 .find all the angles

Answer 1

Let the angle be x

∴ 1st angle = 2x and 2nd angle = 3x


According to the given condition

∠1 + ∠2 = 180

☛ 2x + 3x = 180

☛ 5x = 180

∴ x = 36


∴ 1st angle ☛ 2x

☛ 2 × 36

☛ $\pink{\underline{\pink{\underline{\tt{\red{72^{\circ}}}}}}}$


∴ 2nd angle ☛ 3x

☛ 3 × 36

☛ $\pink{\underline{\pink{\underline{\tt{\red{108^{\circ}}}}}}}$


∴ The four angles of the parallelogram are 72°, 108°, 72° and 108°