Question

in the given figure find the values of X and Y if a b is parallel to CD
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Answer 1

Answer:

it is given that AB is parallel to CD

so, 20° + y = 58° [corresponding angles]

=> y = 58° - 20° = 38°

now, in ∆PQR,

x + y + 100° = 180° [angle sum property of a ∆]

x + 38° + 100° = 180°

=> x = 180° - 138° = 42°

hope it helps you

Answer 2

Answer :-

$\boxed{\red{\bf \green{\dag}\: Value\:of\:x\:is\:42^{\circ}.}}$

$\boxed{\red{\bf \green{\dag}\: Value\:of\:y\:is\:38^{\circ}.}}$

Step by step explanation :-

Given :

• Two lines AB and CD , such that AB || CD .
• Three angles are 22° , 58° & 20° .
• Two unknown angles x & y .

To Find :

• The values of x & y .

Solution :

[ For answer refer to attachment : ]

$\large{\underline{\underline{\red{\tt{\purple{\leadsto } More\: Information:-}}}}}$

• Vertically opposite angles are equal.
• Alternate interior angles are equal.
• Alternate exterior angles are equal.
• Corresponding angles are equal.
• Sum of two interior angles is 180° .