839] In the given figwe, ABIICD, LEAB-501 LE CD =60*°, then find 24 EB.
Answers
Answer:
Question:
In the given figuree, AB||CD, ∠EAB = 50° and ∠ECD = 60°, then find ∠AEB.
\bf{\dag}\:{\underline{\underline{\sf{Answer\::}}}}†
Answer:
∠AEB = 70°
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\bf{\dag}\:{\underline{\underline{\sf{Given\::}}}}†
Given:
AB || CD
∠ECD = 60°
∠EAB = 50°
\bf{\dag}\:{\underline{\underline{\sf{To\:Find\::}}}}†
ToFind:
∠AEB = ?
\bf{\dag}\:{\underline{\underline{\sf{Solution\::}}}}†
Solution:
☯ Here, it is given that AB || CD. So, alternate interior angles will be equal. Therefore;
∠ECD = ∠EBA = 60°
By angle sum property we know that,
\quad\bigstar\:{\boxed{\sf{\pink{Sum_{(angles\:of\:triangle)} = 180^{\circ}}}}}★
Sum
(anglesoftriangle)
=180
∘
Therefore,
\begin{gathered}\\ :\implies\:\tt \angle{AEB} + \angle{EBA} + \angle{EAB} = 180\end{gathered}
:⟹∠AEB+∠EBA+∠EAB=180
Putting all values,
\begin{gathered}\\ :\implies\:\tt \angle{AEB} + 60 + 50 = 180\end{gathered}
:⟹∠AEB+60+50=180
\begin{gathered}\\ :\implies\:\tt \angle{AEB} + 110 = 180\end{gathered}
:⟹∠AEB+110=180
\begin{gathered}\\ :\implies\:\tt \angle{AEB} = 180 - 110\end{gathered}
:⟹∠AEB=180−110
\begin{gathered}\\ :\implies\:\large{\underline{\boxed{\tt{\red{\angle{AEB} = 70^{\circ}}}}}}\end{gathered}
:⟹
∠AEB=70
∘
Related Question:
An angle of a quadrilateral measures five-third of a right angle and other three angles are equal. Find the measure of each equal angles of quadrilateral.
Answer:
brainly.in/question/46040634
Know more:
The lines which do not meet at any point i.e, the lines which do not cuts or touch each other at any point are called parallel lines.
Sum of angles of any quadrilateral is 360° and sum of angles of any triangle is 180°.