Question

839] In the given figwe, ABIICD, LEAB-501
LE CD =60*°, then find 24 EB.
B
E
C с
A​

Answer 1

Answer:

• 70° is the required angle (AEB).

Step-by-step explanation:

According to the Question :-

It is given that ,

• AB || CD
• ∠EAB = 50°
• ∠ECD = 60°

we have to calculate the angle AEB .

As in the given questions AB is parallel to CD

So, by Alternate angle

➻ ∠DEB = ∠ABC = 60° ( Alternate Angle)

Now, in triangle ABE

As we know that sum of angles in triangle is 180° .

So, by putting the value we get

➻ ∠AEB + 50° + 60° = 180°

➻ ∠AEB + 110° = 180°

➻ ∠AEB = 180° - 110°

➻ ∠AEB = 70°

• Hence, the measure of angle AEB is 70° .

Answer 2

$\bf{\dag}\:{\underline{\underline{\sf{Question\::}}}}$

• In the given figuree, AB||CD, ∠EAB = 50° and ∠ECD = 60°, then find ∠AEB.

$\bf{\dag}\:{\underline{\underline{\sf{Answer\::}}}}$

• ∠AEB = 70°

⠀⠀⠀━━━━━━━━━━━━━━━━━━━━━━

$\bf{\dag}\:{\underline{\underline{\sf{Given\::}}}}$

• AB || CD
• ∠ECD = 60°
• ∠EAB = 50°

$\bf{\dag}\:{\underline{\underline{\sf{To\:Find\::}}}}$

• ∠AEB = ?

$\bf{\dag}\:{\underline{\underline{\sf{Solution\::}}}}$

☯ 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,

$\quad\bigstar\:{\boxed{\sf{\pink{Sum_{(angles\:of\:triangle)} = 180^{\circ}}}}}$

Therefore,

$\\ :\implies\:\tt \angle{AEB} + \angle{EBA} + \angle{EAB} = 180$

Putting all values,

$\\ :\implies\:\tt \angle{AEB} + 60 + 50 = 180$

$\\ :\implies\:\tt \angle{AEB} + 110 = 180$

$\\ :\implies\:\tt \angle{AEB} = 180 - 110$

$\\ :\implies\:\large{\underline{\boxed{\tt{\red{\angle{AEB} = 70^{\circ}}}}}}$

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°.

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