Question

the opposite angles of a parallelogram are given as (5x + 3)° and (4x + 6)°.find the measure of all angles.ans= 18°,162°,18°,162°​

Answer 1

Answer:

Oppostite Sides of a Parallelogram are equal.

So,

5x + 3 = 4x + 6

On solving,

x=3°

Let the parallelogram be ABCD.

Therefore,

Angle ABC = 5x+3

= 5×3+3

= 18°(ANS)

Angle CDB = 18°(ANS)

Angle BAD = ANGLE DCA

And,

Angle BAD + Angle ABC = 180°

[PRP. OF || LINES]

So,

Angle BAD=ANGLE DCA= 180-18

=162°(ANS)

HOPE IT HELPS.

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