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In fig. ABCD is a parallelogram . If angle DAB = 60 and angle DBC = 80 then angle CDB =
?
Most Upvoted Answer
In fig. ABCD is a parallelogram . If angle DAB = 60 and angle DBC = 8...
Given:
- ABCD is a parallelogram.
- Angle DAB = 60°
- Angle DBC = 80°

To find:
- Angle CDB

Solution:

To find angle CDB, we can use the properties of a parallelogram.

Property 1:
In a parallelogram, opposite angles are equal. Therefore, angle ABC = angle CDA.

Property 2:
The sum of the angles in a triangle is 180°.

Now, let's solve the problem step by step.

Step 1: Find angle ABC
Since ABCD is a parallelogram, angle ABC = angle CDA.
So, angle ABC = angle CDA = 60°.

Step 2: Find angle ADC
The sum of the angles in a triangle is 180°.
Therefore, angle ADC = 180° - angle DAB - angle ABC
= 180° - 60° - 60°
= 60°.

Step 3: Find angle CDB
In parallelogram ABCD, angle DBC = angle ADC.
So, angle CDB = angle ADC = 80°.

Final Answer:
Therefore, angle CDB = 80°.
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In fig. ABCD is a parallelogram . If angle DAB = 60 and angle DBC = 80 then angle CDB =?
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