Question

In the given figure, DE || BC, find the
values of x, y and z.
And what is tge property that us used in this question?​

Answer 1

Answer:

40°+z+55°=180°

95°+z=180°

z=180°-95°

z=85°

Now see in EACB

y=55°. (alternate interior angles)

Now in DABC

x=40°. ( alternate interior angles)

Answer 2

Answer:

x = 40°,y = 55°,z = 85°

Step-by-step explanation:

Given that:

A triangle ABC. Through a line DE parallel to BC.

To find:

the value of x,y an z

Solution:

X = 40° [Alt. int. ∠s]

Y = 55° [Alt. int. ∠s]

Now,

x°+y°+z° = 180°

40°+55°+x° = 180°

95°+x° = 180°

x° = 180°-95°

x =85°

So the value of x = 40°,y = 55°, z = 85°

Check:

Sum of interior angle of a triangle = 180°

x+y+x = 180°

40°+55°+85° = 180°

180° = 180° ans.