CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Angle Sum Property

The measure o...

Question

The measure of angle of a quadrilateral are in the ratio $3 : 4 : 5 : 6$ . Find their measures in radians?

Open in App

Solution

Let the angles be $3 x, 4 x, 5 x, 6 x$
Sum of angles of quadrilateral = $2 π$ radians
$⟹ 3 x + 4 x + 5 x + 6 x = 2 π ⟹ 18 x = 2 π ⟹ x = \frac{π}{9}$
Angles; $\frac{π}{3}, \frac{4 π}{9}, \frac{5 π}{9}, \frac{2 π}{3}$

Suggest Corrections

thumbs-up

1

Similar questions

Q. One angle of a quadrilateral has measure

\frac{2 π}{5}

and the measure of other three angles are in the ratio

2 : 3 : 4

.Find their measure in radians ?

Q. If the angles of the quadrilateral are in the ratio 4:5:3:6; find the measure of each angle.

The measures of interior angles of a quadrilateral are in the ratio 3:4:5:6. The measure of the largest angle is

Q. If the measures of internal angles of a quadrilateral are in the ratio of

3 : 6 : 4 : 5

. what are the measures of its angle?

Q. The angles of a quadrilateral are in the ratio 2 : 3 : 4 : 6. Find the measures of these angles.

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Angle-Sum Property

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Angle Sum Property

Standard VIII Mathematics

Join BYJU'S Learning Program

CrossIcon