Advertisements
Advertisements
Question
The angles of a quadrilateral are in the ratio 3 : 5 : 9 : 13 Find all the angles of the quadrilateral.
Solution
Let the common ratio between the angle is ‘ЁЭСе’ so the angles will be 3x, 5x, 9x and 13x
respectively
Since the sum of all interior angles of a quadrilateral is 360°
∴ 3x + 5x + 9x +13x = 360°
⇒ 30x = 360°
⇒ x =12°
Hence, the angles are
3x = 3 × 12 = 36°
5x = 5 × 12 = 60°
9x = 9 ×12 =108°
13x =13× 12 =156°
APPEARS IN
RELATED QUESTIONS
Find x + y + z
Find x + y + z + w
In a quadrilateral ABCD, bisectors of angles A and B intersect at O such that ∠AOB = 75°, then write the value of ∠C + ∠D.
The two diagonals are equal in a
Can the angles 110º, 80º, 70º and 95º be the angles of a quadrilateral? Why or why not?
Can all the angles of a quadrilateral be right angles? Give reason for your answer.
The angle between two altitudes of a parallelogram through the vertex of an obtuse angle of the parallelogram is 60º. Find the angles of the parallelogram.
Which of the following can be four interior angles of a quadrilateral?
The angles P, Q, R and S of a quadrilateral are in the ratio 1:3:7:9. Then PQRS is a ______.
In a quadrilateral PQRS, ∠P = 50°, ∠Q = 50°, ∠R = 60°. Find ∠S. Is this quadrilateral convex or concave?
