Advertisements
Advertisements
Question
The angles of a quadrilateral are in the ratio 1 : 2 : 3 : 4. The smallest angle is ______.
Options
72°
144°
36°
18°
Solution
The angles of a quadrilateral are in the ratio 1 : 2 : 3 : 4. The smallest angle is 36°.
Explanation:
Let the angles be x, 2x, 3x, 4x
Sum of interior angles of a quadrilateral = 360°
x + 2x + 3x + 4x = 360°
⇒ 10x = 360°
⇒ x = 36°
APPEARS IN
RELATED QUESTIONS
Find the angle measure x in the given Figure
Find x in the following figures.
Three angles of a quadrilateral are respectively equal to 110°, 50° and 40°. Find its fourth angle
Diagonals necessarily bisect opposite angles in a
The figure formed by joining the mid-points of the adjacent sides of a square is a
If the degree measures of the angles of quadrilateral are 4x, 7x, 9x and 10x, what is the sum of the measures of the smallest angle and largest angle?
Can all the four angles of a quadrilateral be obtuse angles? Give reason for your answer.
In the following figure, P is the mid-point of side BC of a parallelogram ABCD such that ∠BAP = ∠DAP. Prove that AD = 2CD.
The sum of all ______ of a quadrilateral is 360°.
The polygon in which sum of all exterior angles is equal to the sum of interior angles is called ______.
