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

1.	In the given figure p\|\|q. find the value of x,y,z
Answer» 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°

Answer»

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°

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