Question

Diagonal bd of rhombus abcd is equal to one of its sides bc. find the measure of angle a

Answer 1

Answer: angle A=60 degrees

Step-by-step explanation: draw a diagram and use the principle in rhombus all sides are equal

Answer 2

Answer:

60degrees

Step-by-step explanation:

Given that

In rhombus ABCD...

one of the diagonal = one of the side

wkt.... For Rhombus all sides are equal but the length of the diagonals are not equal....

from that.... BD=BC

also we know that In Rhombus diagonals bisect each other....

i.e., angleABD = angleADB = 60°

also we know that... for a quadrilateral ... sum of the angles = 360°

angle A + angle B + angle C + angle D =360°

angle A + (60°+60°) + 60 + (60°+60°) = 360°

angle A + 120° + 60° + 120° = 360°

angle A = 360°- 240°-60°

angle A= 360°-300°=60°

there fore

angle A=60°