Question

In a rhombus ABCD, if angle A = 60 degree find angle B, C and D.

Answer 1

Opposite angles of a rhombus are congruent i.e. same size and measure.

If angle A = 60 degrees, angle C = 60 degrees.

Angles B and D are equal and opposite ie 120 degrees.

Answer 2

angle A = 60 degree

angle B = 120 degree

angle C = 60 degree

angle D = 120 degree

Solution:

Given that in a rhombus ABCD, angle A = 60 degree

We have to find the angle of B, C and D

In rhombus opposite interior angles are equal

angle A = angle C = 60 degree

We know that in rhombus, the adjacent angles have a sum of 180 degrees.  

angle A + angle B = 180 degree

60 + angle B = 180

angle B = 180 - 60

angle B = 120

Since opposite interior angles are equal,

angle B = angle D = 120 degree

Verification:

Sum of all interior angles in rhombus is equal to 360 degree

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

60 + 120 + 60 + 120 = 360 degree

Summarizing the results:

angle A = 60 degree

angle B = 120 degree

angle C = 60 degree

angle D = 120 degree

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