Uh-Oh! That’s all you get for now. We would love to personalise your learning journey. Sign Up to explore more. Sign Up or Login Skip for now Uh-Oh! That’s all you get for now. We would love to personalise your learning journey. Sign Up to explore more. Sign Up or Login Skip for now \[\text{ Let the angle be A and B }. \]\[\text{ The angles are in the ratio of 1: 2 } . \]\[\text{ Measures of } \angle A \text{ and } \angle B \text{ are } x° \text{ and } 2x° . \]\[Then, \angle C = \angle A and \angle D = \angle B (\text{ opposite angles of a parallelogram are congruent })\]\[\text{ As we know that the sum of adjacent angles of a parallelogram is } 180°. \]\[ \therefore \angle A + \angle B = 180°\]\[ \Rightarrow x° + 2x°= 180°\]\[ \Rightarrow 3x° = 180°\]\[ \Rightarrow x°= \frac{180°}{3} = 60°\] \[\text{ Thus, measure of } \angle A = 60°, \angle B = 120°, \angle C = 60° \text{ and } \angle D = 120° .\] |