Question

the measure of angle A and angle B of rhombus ABCD are 2x° and (4x-6) ° respectively, find the value of x and also find the value of ABCD.​

Answer 1

Answer:

the measure of angle A and angle B of rhombus ABCD are 2x° and (4x-6) ° respectively,

Then the value of x :

Sum of A and B

A+B = 180°

$2x + 4x - 6 = 180 \\ 6x - 6 = 180 \\ x - 1 = 30 \\ x = 31$

Now, Angles

A = C opposite angles of Rhombus

A = C = 31*2 = 62°

B = D = 118° opposite angles of Rhombus

$4x - 6 = 124 - 6 = 118$