Question

In the adjoining figure,find the size of each lettered angle.(Please solve as fast as possible) ​

Answer 1

Hey Mate,

Here is your answer,

z + 140° = 180° (linear pair)

z = 180° - 140°

z = 40°

We Know that sum of all angles of a quadrilateral are equal to 360°

The remaining angle

= 360 - (80 + 52 + 143)

= 360 - 275

= 80°

y + 80° = 180° (linear pair)

y = 100°

We Know that sum of all angles of triangle are equal to 180°

Remaning angle = x°

x° + y° + z° = 180°

x° + 100° + 40° = 180°

x° = 180° - 140°

x° = 40°

Hope it helps:)

Answer 2

Answer:

Step-by-step explanation:

Z=180-143=37. because of linear angles sum 180

Y=85

Adjacent angle of y=95

Angle of quadrilateral sums 360

x=180-y-z

x=180-85-37

x=58