Question

B. 75° Х 25° С Fig. Q. 14 . Given 1 || m and p || q, find x and y. P​

Answer 1

l∣∣m and p∣∣q,

then 

Corresponding angles are equal 

alternate interior angles are equal and 

vertically opposite angles are equal

Thus,

zo=80o      [ ∵ vertically opposite angles are equal]

zo=yo=xo=to  [ ∵ Corresponding angles are equal]

∴z=y=x=t=80o 

Answer 2

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GIVEN :

L || M ; P || Q

TO FIND :

X AND Y

THEN

THEOREMS

• CORRESPONDING ANGLES ARE CONGRUENT
• ALTERNATE ANGLES ARE CONGRUENT.
• VERTICALLY OPPOSITE ANGLES ARE CONGRUENT.

Z = 80°

Z = Y = X = T

Z = Y