In Fig 3.42 ABCD and ACED are parallelogram .Also ,angle ABC =40° and angle DEC =70° .Find the measure of each of the angles marked in the figure given
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In 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
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