In figure, find the values of x, y and z

x = 155^{o}

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y = 25^{o}

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z = 155^{o}

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All of these

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Solution

The correct option is D All of these
$S i n c e l i n e n a n d m i n t e r s e c t e a c h o t h e r a t p o i n t O ∠ M O N = 25 (g i v e n) ∠ M O N = ∠ y (v e r t i c a l l y o p p o s i t e a n g l e s) ∠ y = 25 S i n c e ∠ y a n d ∠ z f o r m l i n e a r p a i r o f a n g l e s ∠ y + ∠ z = 180 (l i n e a r p a i r o f a n g l e s a d d t o f o r m 180 ⟹ ∠ z = 180 - ∠ y = 180 - 25 = 155 A l s o ∠ z = ∠ x = 155 (v e r t i c a l l y o p p o s i t e a n g l e s) H e n c e ∠ x = 155, ∠ y = 25 a n d ∠ z = 155$

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