Question

Find x, y,z and p in the given figures :
Yrr please give a solution!


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Answer 1

Step-by-step explanation:

40 +x=90 .( right angle triangle)

x=50...

x = z = 50 .( because of parallel line)

p+z= 360

p+50=360

p=310...

y+z =90 ( right angle )

y+50=90

y=40....

DONE.

Answer 2

$\huge\bold{\gray{\sf{Answer:}}}$

$\bold{Explanation:}$

Basic terms and concepts:

Corresponding angles: Those angles which are formed on the same side of lines.

Linear pair or angle on a straight line :Two pairs of Angles which are formed on a single line this pairs are said to be linear and together makes $180^{\circ}$

From above figure,

=>X+$40^{\circ}$=$90^{\circ}$

Reason : Right angle

=>X=$90^{\circ}-$$40^{\circ}$

=>X=$50^{\circ}$

If X is $50^{\circ}$ then Z would also be $50^{\circ}$ (corresponding angle)

and y is $40^{\circ}$(corresponding angle)

Now we see that Z and P are formed on a straight line or forming a linear pair

=>Z+P=$180^{\circ}$

=>$50^{\circ}$+P=$180^{\circ}$

=>P=$180^{\circ}-50^{\circ}$

=>P=$130^{\circ}$

$\therefore$ $\sf X=50^{\circ},$$\sf Y=40^{\circ},$$\sf Z=50^{\circ}$ And $\sf P=130^{\circ}$