Question

in the given figure bc//de find the values of x and y

Answer 1

In the given figure,

BC || DE

So, ∠DAB = ∠CBA

Also, ∠EAC = ∠BCA

Hence,

∠DAB = x = 50°

∠EAC = y = 55°

$<b>The above angles are equal because of alternate interior angles.</b>$

Answer 2

Answer:

x=50° and y=55°

Step-by-step explanation:

• In the given question, DE is parallel to BC.
• DE // BC.
• and AB is Transversal .
• When a transversal intersects two parallel lines, we get opposite sides of Transversal angles.
• When a transversal intersects two parallel lines, we get opposite sides of Transversal angles. These opposite sides of Transversal is same.
• When DE // BC and AB is Transversal , the opposite sides of Transversal angles are <DAB and <ABC.
• So <DAB = <ABC
• x=<ABC (where <DAB=x)
• x=50° (where <ABC= 50°)
• Similarly, When DE // BC and AC is Transversal , the opposite sides of Transversal angles are <EAC and <ACB.
• <EAC = <ACB
• y=<ACB (where <EAC=y)
• y=55° (where <ABC= 50°)

Conclusion:

The value of x is 50° and y is 55°.