Question

Find x and y in each of the following, where DE ll BC .

Don't span​

Answer 1

Answer:

x= 60⁰ y=60⁰ it is correct answer

Answer 2

$\huge{\underbrace{\sf{\red{Required\:Answer:}}}}$

$\implies{\sf{ \angle B = \angle C = y}}$

• Reason : ABC is an isosceles triangle where AB=AC, therefore angle B and C are equal.

If DE || BC,

$\implies{\sf{ \angle ABC = \angle DAB\:\:\:\:\:\:|\because Alternate\:Interior\:angle}}$

$\implies{\sf{ \angle ABC = \angle B = 60°}}$

$\implies{\sf{ \angle C = \angle B = 60°}}$

Hence, the value of Y is 60°.

$\implies{\sf{ \angle A + \angle B + \angle C = 180°}}$

• Reason : The sum of all the angles of a triangle is 180° or Angle sum property of a triangle.

$\implies{\sf{ \angle A + 60° + 60° = 180°}}$

$\implies{\sf{ \angle A + 120° = 180°}}$

$\implies{\sf{ \angle A = 180°-120°}}$

$\implies{\sf{ \angle A = 60°}}$

$\implies{\sf{ \angle A = x = 60°}}$

Hence, the value of x is 60°.