Question

Q4 In the adjacent figure, find x + y + z*
260 degree
200 degree
360 degree
180 degree
please help me if you don't know so don't answer!!
it's urgent
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Answer 1

We know that angle sum of a triangle = 180°

Thus, 30° + 90° + C = 180°

Or, 120° + C = 180°

Or, C = 180° – 120°

Or, C = 60°

Now,

y = 180° – C

⇒ y = 180° – 60° = 120°

z = 180° – 30° = 150°

x = 180° – 90° = 90°

∴ x + y + z = 90° + 120° + 150°

⇒ x + y + z = 360° Answer

Alternate method

We know that sum of external angles of a polygon = 360°