Question

find the value of 'x', 'y', 'z' and 'w' and also identify which type of polygon it is​

Answer 1

Answer:

This is a Pentagon

x= 70

y= 80°

z=150°

w=90°

Step-by-step explanation:

AB is a straight line.

so, 30°+z=180° (linear pair property)

z=180°-30°

[z=150°]

EA is a straight line.

100°+y=180° (linear pair property)

y=180°-100°

[y=80°]

BC||DE, so

90°+w=180° (co-interior angles)

w=180°-90°

[w=90°]

Now,

w+y+z+90°+angleAED = 540° (angle sum of Pentagon)

90°+150°+80°+90°+angleAED = 540°

angle AED = 540°-(90°+150°+80°+90°)

angle AED = 540°-410°

angle AED = 110°

DE is a straight line.

angle AED + x =180°

110°+x=180°

x=180°-110°

[x=70°]