Question

in a parallelogram ABCD,angleD=75 degree, find the measure of other 3 angles

Answer 1

Hi Mate!!

//gm :-

1). Opposite sides are equal.

2). Opposite angles are equal.

3). Diagonals bisects each other and are
unequal.

4). Sum of all angles = 360°


Exp:-


A + B + C + D = 360°

=>. A = C and B = D

=>. 2 A + 150 = 360

=>. A = 105°

So, the other three angles are 105°, 75 and 105°

Have a nice time

Answer 2

It is given that in a //gm ABCD in which ∠D = 75°.

To find the measure of :- ∠A , ∠B and ∠C.

Since opposite angles of //gm are equal.

•°• ∠B = ∠D = 75°

we know that any sum of two adjacent angles of //gm is 180°.

∠A + ∠B = 180°

=> ∠A + 75° = 180°

=> ∠A = 180° - 75°

=> ∠A = 105°


Since opposite angles of //gm are equal.

•°• ∠A = ∠C = 105°

Hence , the measures of ∠A = 105° , ∠B =75° and ∠C = 105°.