Question

Find the value of a and b, given that p || q and r || s.​

Answer 1

$\purple{ \bm{ \underline{ \underline{Given:-}}}}$

$\blue{ \star{ \sf{ \: p \: || \: q}}}$

$\blue{ \star{ \sf{ \: r \: || \: s}}}$

$\purple{ \bm{ \underline{ \underline{To \: Find:-}}}}$

$\blue{ \star{ \sf{ \: The \: value \: of \: a.}}}$

$\blue{ \star{ \sf{ \: The \: value \: of \: b.}}}$

$\purple{ \bm{ \underline{ \underline{Let's \: Find \: out:-}}}}$

$\blue{\sf{ \twoheadrightarrow{2a = 80° \: (Corresponding \: Angles)}}}$

$\blue{\sf{ \twoheadrightarrow{ a = 40°}}}$

$\blue{ \sf{ \twoheadrightarrow{b = 180° - 80° \: (Linear \: Pair)}}}$

$\blue{ \sf{ \twoheadrightarrow{b = 100°}}}$

$\purple{ \bm{ \boxed {\therefore{a = 40°}}}}$

$\purple{ \bm{ \boxed{ \therefore{b = 100°}}}}$

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$\pink{ \large{ \rm{ Assimilate \: It:-}}}$

• Angles which are placed next to each other are called adjacent angles.

• A pair of adjacent angles is called linear pair if there measures add up to 180°.

• A straight line that intersects two or more straight lines in a plane at different points is called a transversal.

• If the lines cut by the transversal are not parallel, then the corresponding angles are not equal.

• If the lines cut by the transversal are parallel, then the corresponding angles are equal.

Answer 2

$\green{\bold{\underline{ ☆ UPSC-ASPIRANT ☆} }}$

$\red{\bold{\underline{\underline{QUESTION:-}}}}$

Q:-Find the value of a and b, given that p || q and r || s.

$\huge\tt\underline\blue{ANSWER }$

------>>>>Here is your answer<<<<--------

➪2a=80°( corresponding angle).

➪a=40°

➪a=50°

➪2a+x=180°(angle on the same side of transerval)

➪100°+x=180°

➪x=180°-100°

➪x=80°

➪x=b°=80°(corresponding angle)

HOPE IT HELPS YOU..

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Thankyou:)