Question

The angles of a quadrilateral we in AP common difference is 10°. Find the angles

Answer 1

Answer:

75°,85°,95°,105°

Step-by-step explanation:

Given that the angles are in AP.

Let the angels be a, (a+d), (a+2d), (a+3d).

We know that Sum of four angles of a quadrilateral is 360°.

⇒ a + a + d + a + 2d + a + 3d = 360

⇒ 4a + 6d = 360°

⇒ 4a + 6(10) = 360

⇒ 4a = 360 - 60

⇒ 4a = 300

⇒ a = 75°.

Angles are:

a = 75°

a + d = 85°

a + 2d = 95°

a + 3d = 105°

Therefore, angles are 75°,85°,95°,105°.

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Answer 2

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