Question

ABCD is a quadrilateral in which AB parallel DC and AD parallel BC. find angles b,c,d​

Answer 1

ANSWER:

Angle c=50°

(as opposite Angles of ||gm are always equal)

Angle c +Angle d =180°(co interior angle)

50°+d=180°

d=130°

d=b=130° ( opposite angle of ||gm)

So Angles are:-

• C=50°
• B=130°
• D=130°

Answer 2

Answer :

• ∠b = 130°
• ∠c = 50°
• ∠d = 130°

Step-by-step explanation :

Given that,

• ABCD is a quadrilateral
• AB || DC
• AD || BC
• ∠A = 50°

As, AB || DC and AD || BC, then, we can say that, ABCD is a parallelogram,

• The measure of the unknown ∠b is,

➜ ∠A + ∠b = 180° ...... adjacent angles

➜ 50° + ∠b = 180°

➜ ∠b = 180 - 50

➜ ∠b = 130°

The measure of ∠b is 130°.

• The measure of the unknown ∠c is,

➜ ∠A = ∠c .... opposite angles are equal.

➜ ∠c = 50°

The measure of ∠c is 50°.

• The measure of unknown angle ∠d is,

➜ ∠b = ∠d .... opposite angles are equal.

➜ ∠d = 130°

The measure of ∠d is 130°.

More Information

The properties of a parallelogram are :-

➜ Opposite sides are parallel.

➜ Opposite sides are equal.

➜ Opposite angles are equal.

➜ Adjacent angles are supplementary ( 180° ).

➜ The diagnals bisect each other.

➜ Each diagnals bisects the parallelogram ( divides it into two congruent triangles )