Question

ABCD is a parallelogram in which angle A = 105°. Find the measure of each of the angles B, C andD

Answer 1

Answer:

n a parallelogram, opposite angles are always equal.

⇒∠A=∠C and ∠B=∠D

as ∠A=70  

o

⇒∠C=70  

o

 

Also ∠A+∠B+∠C+∠D=360  

o

 

⇒∠B+∠D=360  

o

−140  

o

 

⇒2∠B=220  

o

 

⇒∠B=110  

o

 

⇒D=110  

o

Step-by-step explanation:

Answer 2

Answer:

Angle B = 75⁰= Angle D and Angle C= 105⁰

Step-by-step explanation:

Since ABCD is a parallelogram,

therefore opposite angles in a parallelogram are equal. Which means:-

Angle A=Angle C(.: property of parallelogram)

Angle B =Angle D(.:property of parallelogram)

Angle A +Angle B= 180⁰(:. property if parallelogram)...(i)

so by the statement (i) we can write

105⁰+Angle B=180⁰

Angle B=75⁰

since ,Angle C= Angle A

hence, Angle C =105⁰

Angle B=75⁰

since, Angle B=Angle D

therefore, Angle D= 75⁰