Question

in the given figure AB II CD and EF is a transversal if angle 8 =110 degree find each one of the unknown angles marked in the figure give reasons​

Answer 1

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Answer 2

Question :-

• In the given figure AB || CD and EF is a transversal. If Angle 8 = 110° , find each one of the unknown angles marked in the figure. Give reasons.

Answer :-

$\begin{gathered}\bigstar\underline{\textsf{ \: From\;fig. \;Line segment\;CD\:}}\\\twoheadrightarrow\sf \angle 7 + \angle 8 = 180^\circ\\\twoheadrightarrow\sf \angle 7 + 110^\circ = 180^\circ\\\twoheadrightarrow\sf \angle 7 = 180^\circ - 110^\circ\\\twoheadrightarrow\sf \angle 7 = 70^\circ\\\\\therefore\: \underline{\boxed{\sf \angle 7= 70^\circ}}\\\dfrac{\qquad\qquad \qquad\qquad\qquad\qquad\qquad}{}\end{gathered}$

⇥ ∠1 = ∠4 (Vertically Opposite Angles)

⇥ ∠3 = ∠2 (Vertically Opposite Angles)

⇥ ∠5 = ∠8 (Vertically Opposite Angles)

⇥ ∠7 = ∠6 (Vertically Opposite Angles)

⇥ ∠1 = ∠5 (Corresponding Angles)

∴ Hence, ∠2, ∠3, ∠7 & ∠6 are 70° and ∠1, ∠4 & ∠5 are 110° respectively.

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