Question

In a parallelogram ABCD if ∠A = 75

, find ∠B, ∠C and ∠D​

Answer 1

Answer:

∠B=105  ,∠C=75  and ∠D=105  

Step-by-step explanation:

Let ABCD be a parallelogram in which ∠A=75  

Since AD∥BC we can treat AB as a transversal. So,

∠A+∠B=180  

 

75  +∠B=180  

 

∠B=180   −75  

 

∠B=105  

 

Since the opposite angles of a parallelogram are equal, we have

∠C=∠A=75  

 and ∠D=∠B=105  

Hence, ∠B=105  

,∠C=75  

 and ∠D=105  

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