Question

Find the measure of all four angles of a parallelogram whose two consecutive angles are in the ratio 1 : 3.( Hint: The sum of two consecutive angles of parallelogram is = 180°)m

Answer 1

Answer:

the 4 angles of the parallelogram are 45°,90°,45°,90°

Step-by-step explanation:

given ration between 2 adjacent consecutive angles of a parallelogram as 1:3

let x be the proportion,

then the angles are  x and 3x

we know , in a parallelogram, the sum of any 2 adjacent angles is 180°

so, here , x + 3x = 180°

        =>          4x = 180°

        =>          x = 180°/4

        =>          x = 45°

so, the 2 angles are, 45° and 2(45°)

ie., 45°,90°

the other 2 angles of the parallelogram are the same as the above pair

ie, the 4 angles of the parallelogram are 45°,90°,45°,90°