Question

ABCD is a rhombus in which angle ABC = 55 degree. Find the measure of angle DCB
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Answer 1

Answer:

angle DCB=35°

Step-by-step explanation:

Given-: angle ABC=55°

To find-: angle DCB

Solution-: We know that,

Opposite angles of a rhombus are equal

So, angle A= angle C and angle B= angle D

Now,

angle D= 55°

And, Let angle DCB or angle C be a

Now,

By Angle Sum Property,

angle A+ angle B+ angle C+ angle D= 180°

a + 55° + a + 55° = 180°

2a = 180°-110°

2a = 70°

a = 35°

And angle C or DCB = a = 35°

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