Advertisements
Advertisements
Question
The angles of a quadrilateral are in A.P. with common difference 20°. Find its angles.
Solution
Let the four angle of a quadrilateral in A.P. be a, a + 20°, a + 40° and a + 60°
∴ a + (a + 20°) + (a + 40°) + (a + 60°) = 360° ...[Angle sum property]
`=>` 4a + 120° = 360°
`=>` 4a = 240°
`=>` a = 60° ...(1)
Thus, angles of a quarilateral are = a, a + 20°, a + 40° and 60°
= 60°, 80°, 100° and 120°
APPEARS IN
RELATED QUESTIONS
An A.P. consists of 60 terms, If the first and the last terms be 7 and 125 respectively, find the 31st term.
The 6th term of an A.P. is 16 and the 14th term is 32. Determine the 36th term.
Find the sum of the A.P., 14, 21, 28, ......, 168.
Find the indicated terms in each of following A.P.s: 1, 6, 11, 16, …; a20
Find the 12th from the end of the A.P. – 2, – 4, – 6, …; – 100.
Find the sum of the two middle most terms of the A.P. `-(4)/(3), -1, -(2)/(3),...,4(1)/(3)`
The sum of 2nd and 7th terms of an A.P. is 30. If its 15th term is 1 less than twice its 8th term, find the A.P.
The sum of three numbers in A.P. is 30 and the ratio of first number to the third number is 3 : 7. Find the numbers.
The sum of the first three terms of an A.P.is 33. If the product of the first and the third terms exceeds the second term by 29, find the A.P.
Justify whether it is true to say that the following are the nth terms of an A.P. n2 + 1
