Question

In the given figure, BC|| DE. Find the values of x and y.​

Answer 1

x=50

y=55

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Answer 2

To find:-

• Value of x and y

$\huge \tt☃\:SolutioN$

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In ∆ABC

∠B = 50°

∠C = 55°

∠CAB = ?

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We know that,

Sum of all interior angles of triangle is 180°

So,

⇒∠B + ∠C + ∠CAB = 180°

⇒50° + 55° + ∠CAB = 180°

⇒105° + ∠CAB = 180°

⇒∠CAB = 180° - 105°

⇒ ∠CAB = 75°

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↦∠CAB + x + ∠C = 180°( Co - interior angles)

↦75° + x + 55° =180°

↦130° + x = 180°

↦x = 180° - 130°

↦x = 50°

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↦∠CAB + y + ∠B = 180°( Co - interior angles)

↦75° + y + 50° =180°

↦125° + y = 180°

↦y = 180° - 125°

↦y = 55°

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Therefore, x = 50° and y = 55°.