Math, asked by shintosharon, 5 months ago

Find the angle measure x, y and z ​

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Answered by abhisheksingh100704
0

Answer:

I am assuming you know the linear pair property

x+75°=180°

x=105°

y+90°=180°

y=90°

Sum of angles of a polygon

(n-2)*180°

Hence The Sum of All Angles of this pentagon will be 540°

90°+105°+140°+120°+z=540°

z=85°

Answered by sagarbhuyan379
1

sum of interior angle of pentagon is 540°

<X + 75° = 180° ( linear pair)

<X = 180° - 75°

<X = 105°

90° + <Y =180° ( linear pair)

<Y = 180° - 90°

<Y = 90°

then,

X + Y + 120° + 140° + Z = 540°

105° + 90° + 120° + 140° + z = 540°

445° + Z = 540°

Z = 540° - 455°

Z = 85°

hope it will helpful for you ♥️ ♥️♥️

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