Question

E
P
71
55
4. In the given figure l | m | n.pll. If ZBAC = 55°.
Find the values of x, y and z. (CBSE SP 2012]
B
9​

Answer 1

Answer:

Give that,

l ∥ m ∥ n.

p⊥ l

∠ BAC=55°

i) A⊥ N

∵[perpendicular angle is (90° angle)]

∴ opposite angles equal

Then we find ∠ AFD

CF is 90°

∵90-55=35°

F=90°

[∵sum of three angles in a triangle is 180]

90+35+z=180

125+z=180

Z=180-125

Z=55°

ii) m and D is line segment

=180°

We know value of D=55

[Sum of the opposite angles equal]

{∠E =90,∠F=90}[perpendicular angle is (90° angle]

D=55°[Sum of the opposite angles equal]

[∵sum of the 4 angle in Quadrilateral is

360°]

90+90+55+y=360

235+y=360

Y=360-235

Y=125

iii)l and B is line segment

is line segment =180°

Corresponding Angles are equal.

Y= x

∵x=125°

Y=125°

Z=55°

Answer 2

Answer:

x = 115°, y=125° , z= 35°

ope it helps you