Question

Three angles of a quadilateral are 150°,50° and 80°. Find the fourth angle.​

Answer 1

Question:

The three angles of a quadrilateral are 150°, 50° and 80°. Find the fourth angle.

Answer:

The sum of all four interior angle of a quadrilateral equals to 360°.

Let's assume that the unknown 4th angle is 'x'

1st angle = 150°

2nd angle = 50°

3rd angle = 80°

4th angle = x°

Sum of all angles = 360°

Thus,

150° + 50° + 80° + x° = 360°

200° + 80° + x° = 360°

280° + x° = 360°

x° = 360° - 280°

x° = 80°

Hence,

The value of the fourth angle of the quadrilateral with angles 150°, 80° and 50° is 80°

Hope it helps

Answer 2

Answer:

x= 80°

Step-by-step explanation:

=>Let the fourth angle be x°

=>Sum of a quadrilateral = 360°

=> A.T.Q

=> 150° + 50° +80° + x° =360°

=> 280° + x° = 360°

=> x° = 360° - 280 °

=> x° = 80°

Hence the fourth angle be 80°

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