Question

In the given figure ,PQRS is a parallelogram in which a pair of opposite angle is given.
Find the value of x ?

Answer 1

Step-by-step explanation:

$\huge{\underline{\underline{Given→}}}$

• $PQRS\:is\:a\:Parallelogram$
• $Angle\:1=(2x+27°)$
• $Angle\:2=(4x-3°)$

$\huge{\underline{\underline{To\:Find→}}}$

$→The\:value\:of\:‘x’$

$\huge{\underline{\underline{Answer→}}}$

$→As\:PQRS\:is\:a\:Parallelogram$

→So angle 1=angle2.

$→(4x-3°)=(2x+27°)$

$→4x=2x+27°+3°$

$→4x=2x+30°$

$→4x-2x=30°$

$→2x=30°$

$→x=30/2$

$→x=15°$

${\boxed{\boxed{→x=15°✔}}}$

☞So from here, the value of x =15° which is the required answer.

$\bold{\underline{\underline{Property\:used→}}}$

→The opposite angles of parallelogram are equal to one another.

$\huge{\underline{\underline{More\:Info.→}}}$

$\bold{\underline{\underline{Properties\:of\:parallelogram→}}}$

1. Opposite sides of the parallelogram are equal to one another.
2. Co-interior angles of a parallelogram are supplementary.
3. Opposite sides of the parallelogram are parallel.
4. The diagonals of a parallelogram bisect each other, etc.

HOPE IT HELPS.

Answer 2

Answer:

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