Question

find the angle measure x in the following figures ​

Answer 1

Sum of all exterior angles of a polygon is 360 .

So, as there is one 150° exterior angle.

The second would be 80° of the 100° side

And the X one would be of 360 - (150+80) = 130 .

So, X = 130°

Answer 2

Answer:

z + 150° = 180° [ by Linear pair ]

z = 180° - 150°

z = 30°

z + 100° + y = 180°

because the sum of all angles of a triangle is equal to 180°

30° + 100° + y = 180°

130° + y = 180°

y = 180° - 130°

y = 50°

x + y = 180° [ by Linear pair ]

x + 50° = 180°

x = 180° - 50°

x = 130°

OR

x = z + 100°

because Exterior angle = sum of opposite interior angle .

x = 30° + 100°

x = 130°

Hence, x = 130°

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