1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard IX
Mathematics
Angle Sum Property of a Quadrilateral
The angles of...
Question
The angles of a quadrilateral are in the ratio 2 : 3 : 4 : 6. Find the measures of these angles.
Open in App
Solution
Suppose the angles are 2x, 3x, 4x, and 6x.
We know that the sum of the angles of a quadrilateral is 360°.
∴ 2x + 3x + 4x + 6x = 360
15x = 360
x = 24
Therefore, the measures of the angles are 48°, 72°, 96° and 144°.
Suggest Corrections
6
Similar questions
Q.
The four angles of a quadrilateral are in the ratio
2
:
3
:
4
:
6
. Find the measures of each angle
Q.
The angles of a quadrilateral are in the ratio
2
:
3
:
4
:
6
. Find the measure of each of the four angles.
Q.
Find the measurements of the angles of quadrilateral if they are in ratio of
2
:
3
:
4
:
6
Q.
The angle of a quadrilateral are in the ratio
2
:
3
:
4
:
6
. Find the measure of each of the four angles.
Q.
In a quadrilateral
A
B
C
D
, the angles
∠
A
,
∠
B
,
∠
C
and
∠
D
are in the ratio
2
:
3
:
4
:
6
. Find the measure of each angle of the quadrilateral.
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Related Videos
Introduction to Quadrilaterals
MATHEMATICS
Watch in App
Explore more
Angle Sum Property of a Quadrilateral
Standard IX Mathematics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
AI Tutor
Textbooks
Question Papers
Install app