Question

.Two adjacent angles of a rhombus are in the ratio 2:4 .find the measure of all the angles

Answer 1

Let the common ratio be x.

Then, angle 1 = 2x and angle 2 =4x

We know that in a parallelogram,

The sum of adjacent angles =180° (co-interior property)


So, 2x+4x=180°

6x=180°

x=180°/6

x=30°

Angle 1 =2×30°

=60°

Angle 2 = 4×30°

=120°

Since opposite angles of a parallelogram are equal,

angle 1 = angle 3 = 60°

angle 2 = angle 4 = 120°

$\bf{Hope\:it\:helps}$

Answer 2

let two adjacent angles be 2x and 4x
then 2x + 4x = 180
6x = 180
x = 180/6
x = 30
then two adjacent angles = (2×30)=60 and (4×30)= 120
the all angle = 60,120,60,120