Question

find the value of x in given figure.​

Answer 1

Answer:

x = 33°

Step-by-step explanation:

Angel R = Angle P (opposite angles of //gm are equal)

Angel R = 115°

Angel R + Angel S = 180° (Corresponding Angles)

115° + 32° + x = 180°

147° + x = 180°

x = 180°- 147°

x = 33°

Answer 2

${\bigstar}$${\purple{\underline{\underline{\bf{\pink{Given}}}}}}$

$\blue\star$PQRS is a parallelogram. ( opp sides are equal )

• $\blue\star$PSQ = 32
• $\blue\star$SPQ =115

${\bigstar}$${\purple{\underline{\underline{\bf{\pink{To find}}}}}}$

• $\blue\star$The value of x

${\bigstar}$${\purple{\underline{\underline{\bf{\pink{Solution}}}}}}$

PSQ = SQR = 32⁰ ( Alternate interior angle )

SPQ = SRQ = 115⁰( Opp angles of 11gm are equal)

In ∆SRQ

S + R + Q = 180⁰. ( Angle sum property)

x + 32⁰ + 115⁰ = 180⁰

x + 147⁰ = 180⁰

x = 180⁰ - 147⁰

x = ${\purple{\underline{\underline{\bf{\pink{33°}}}}}}$

Hope it helps u mate

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