Question

find x and y in the given figure

Answer 1

hope it's help you x and y=39°

Answer 2

Answer:

The value of x is 39 degree and the value of y is 39 degree.

Step-by-step explanation:

Given information: AB || DE, AE=BE.

If a traversal line intersect two parallel lines, then the corresponding angles are equal.

$\angle ABC=\angle DEC=x$             (Corresponding angles)

Since AE=BE, therefore triangle ABE is an isosceles triangle.

$\angle ABE=\angle EAB=x$              (Two equal angles of Isosceles triangle)

$\angle BAC=\angle EDC=2x$             (Corresponding angles)

The sum of two interior angles of a triangle is equal to the third exterior angle.

In triangle ADE,

$\angle DAE+\angle DEA=\angle EDC$

$x+y=2x$

$y=2x-x$

$x=y$                                      ....(1)

Use angle sum property is triangle CDE,

$\angle EDC+\angle DEC+\angle DCE=180^{\circ}$

$2x+x+63^{\circ}=180^{\circ}$

$3x=117^{\circ}$

$x=39^{\circ}$

Using (1), we get

$y=39^{\circ}$

Therefore, the value of x is 39 degree and the value of y is 39 degree.