Question

find the missing values of Marked angles in each of the following polygons​

Answer 1

In the Quadrilateral that is forming in the figure has three marked angles as:

60°, 80° and 120°

we know that, the sum of interior angles of a quadrilateral is 360°:

so, let the 4th angle be a.

A/q,

⇒ 60 + 80 + 120 + a = 360

⇒ 260 + a = 360

⇒ a = 360 - 260

therefore, a = 100°

Now, w° + 100° = 180° [ Linear Angles ]

⇒ w° = 180° - 100°

⇒ w° = 80° ANSWER 1

Similary, with the same reason,

⇒ x° = 180° - 120° [ Linear Angles ]

⇒ x° = 60° ANSWER 2

Again,

⇒ y° = 180° - 80° [ Linear Angles ]

⇒ y° = 100° ANSWER 3

And Lastly,

⇒ z° = 180° - 60° [ Linear Angles ]

⇒ z° = 120° ANSWER 3