Question

Abcd is a parrallelogram in which anglea=110 Find the measures of the angles b,c and d

Answer 1

Let the parallelogram be ABCD
Angle A+C=180
similarly Angle B+D=180
therefore, A+C=180
                110+C=180
                 C=180-110
C=70
now, Angle A+D=180 (consecutive angles are congruent)
                 D=180-110
D=70
now,A+B+C+D=360
110+70+70+B=360
C=360-250
C=110
the parallelogram will be like
A_________________D
   \                                \
    \                                \
     \                                \
   B \________________\ C

Answer 2

$\boxed{\boxed{\boxed{\bold{\green{Solution : \longrightarrow}}}}}$

Let ABCD be the ||gm in which ∠A = 110° .

To find :- ∠A ,∠B and ∠D.

We know that sum of any two adjacent angles of ||gm is 180°.

•°• ∠A + ∠B = 180°

=> 110° + ∠B = 180°

=> ∠B = 180° - 110°

=> ∠B = 70°

Since opposite angles of ||gm are equal.

•°• ∠A = ∠C = 110°

And ∠B = ∠D = 70°

Hence, ∠B = 70° , ∠C = 110° and ∠D = 70° .

$\bold\red{\boxed{I \: \: hope \: \: it \: \: will \: \: help \: \: you.}}$