Question

plzz helppppppppp bro or sis

Answer 1

Answer:

it's a pentagon as it has 5sides.. use the angels sum property.. (540°).. and apply linear pair wherever needed... you will arrive at the answer

Answer 2

Linear Pair

If a line is cut by a line then adjacent angles sum is 180°.

Analysing

y = 80° from Linear Pair

z = 150° from Linear Pair

w = 90° from Linear Pair

Important Note :-

Sum of all angles in Pentagon is 540°.

So,

Solving

90° + z + y + w + 180° - x = 540°

Put values,

90° + 150° + 80° + 90° + 180° - x = 540°

590° - x = 540°

x = 50°

[ ( 180° - x ) is angle AED from Linear Pair. ]

Answer

So, polygon is pentagon as it have 5 sides.

And

w = 90°

x = 50°

y = 80°

z = 150°

Thank you.

Have a Nice Day!