Question

in the given figure p||q. find the value of x,y,z​

Answer 1

Answer:

x=90°, y=44°, z=36°

Step-by-step explanation:

(z)+(y+10)+(x)=180°. (linear pair) --(i)

taking line r as transversal, (z)+(y+10) + w(angle shown as right angle)=180°. (int. angles on same side of transversal)

Therefore, (z)+(y+10)=180-90

=90°. --- (ii)

putting its value in (i),

x+90=180°

x=180-90=90°

taking line s as transversal,

3y-6+y+10=180 (int. angles on same side of transversal)

=4y+4=180°

=4y=180-4

=4y=176

=y=44°

from (ii),

(z)+(y+10)=90°

z+44+10=90°

z+54=90°

z=90-54=36°