answer my question
i need step by step explanation no direct answer ok plz
Answers
Step-by-step explanation:
a=c
c=70(opposite angles are equal)
=b+c=180(adjacent angles are supplementary)
=b+70=180
=b=180-70=110
b=d(opposite angles are equal)
d=110
∠B=∠D=110° and ∠C = 70° if in parallelogram ABCD ∠A=70°
Given : Parallogram ABCD and measure of ∠A is 70°
To Find : Measure of all other angles
∠B , ∠C and ∠D
Solution :
Parallelogram is a Quadrilateral in which opposites sides are parallel and Equal
Adjacent angles are supplementary ( Adds up to 180°)
Opposite angle area equal
In Parallogram ABCD
AB || CD and AD is transversal
Hence.
∠A + ∠D = 180° ( Co-Interior angles are supplementary angles )
=> 70° + ∠D = 180°
=> ∠D = 110°
Similarly
AD || BC and AB is transversal
Hence
∠A + ∠B = 180° ( Co-Interior angles are supplementary angles )
=> 70° + ∠B = 180°
=> ∠B = 110°
Similarly ∠C is co interior angle for ∠B and ∠D
=> ∠B + ∠C = ∠D + ∠C = 180°
Hence ∠C = 70°
∠B=∠D=110° and ∠C = 70°
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