# ABCD is a rhombus . If angle ADB = 50 , find the angles of the rhombus ?

see explanation.

Some of the properties of a rhombus are :

1) The sides of a rhombus are all congruent (the same length.)

2)

3)

4)

.................

Now back to our question,

Given that

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Since ABCD is a rhombus, opposite angles are congruent. Therefore, angle ABC = angle ADC. Since angle ADB = 50 degrees, and the sum of angles in a triangle is 180 degrees, angle ABC = angle ADC = (180 - 50) / 2 = 65 degrees. Therefore, the angles of the rhombus are all 65 degrees.

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