The angles of triangle are in A.P. whose common difference is 20°. Find angles.

Question

KnowledgeBoat · Accepted Answer

Let the three angles of triangle in A.P. be represented as : a - d, a, a + d. The sum of the interior angles of any triangle is always 180°. ⇒ a - d + a + a + d = 180° ⇒ 3a = 180 ⇒ a = ⇒ a = 60°. Given, The common difference is 20° ⇒ a - 20° = 60° - 20° = 40° ⇒ a + 20° = 60° + 20° = 80°. Hence, the angles of triangle are 40°, 60°, 80°.

Mathematics

The angles of triangle are in A.P. whose common difference is 20°. Find angles.

AP

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Mathematics

The angles of triangle are in A.P. whose common difference is 20°. Find angles.

AP

Related Questions

Find three numbers in A.P., whose sum is 15 and the product is 80.

The angles of quadrilateral are in A.P., whose common difference is 10°. Find the angles.

-11, -7, -3, …….,49, 53 are the terms of a progression.Answer the following:(a) What is the type of progression?(b) How many terms are there in all?(c) Calculate the value of middle most term.

Find the sum :2 + 7 + 12 + 17 + ….. to 19 terms.

-11, -7, -3, …….,49, 53 are the terms of a progression.
Answer the following:
(a) What is the type of progression?
(b) How many terms are there in all?
(c) Calculate the value of middle most term.

Find the sum :
2 + 7 + 12 + 17 + ….. to 19 terms.