Question

find the value of the unknownx and y in the following diagram

Answer 1

$\text{(iv) x = 60°[ Vertically opposite angle ]}$

$\text{Now, 30° + x + y = 180° [ Angle sum property of a triangle ]}$

$⇒\bold{50° + 60° + y = 180°}$

$⇒\bold{90° + y = 180°-90°}$

$⇒\bold{y= 180°-90°}$

$\large{\bold{\fbox{\red{= 90°}}}}$

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$\text{(v) y = 90° [ Vertically opposite angle ]}$

$\text{Now, y + x + x = 180° [ Angle sum property of a triangle]}$

$⇒\bold{90° + 2x = 180°}$

$⇒\bold{2x = 180°-90°}$

$⇒\bold{2x = 90°}$

$⇒\bold{x = \frac{90°}{2} }$

$\large{\bold{\fbox{\red{= 45°}}}}$

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$\text{(vi) x = y [ Vertically opposite angle ]}$

$\text{Now, x + x + y = 180° [ Angle sum property of a triangle ]}$

$⇒\bold{2x + x = 180°}$

$⇒\bold{3x = 180°}$

$⇒\bold{x = \frac{180°}{3} }$

$\large{\bold{\fbox{\red{= 60°}}}}$


《 Based on NCERT solutions 》