Advertisements
Advertisements
प्रश्न
Three angles of a quadrilateral are equal. Fourth angle is of measure 120°. What is the measure of equal angles?
Advertisements
उत्तर
Let the measure of equal angles be x each.
Then, by the angle sum property of a quadrilateral, we have
x + x + x + 120° = 360°
⇒ 3x = 360° – 120°
⇒ 3x = 240°
⇒ x = 80°
APPEARS IN
संबंधित प्रश्न
Find x in the following figures.

Three angles of a quadrilateral are respectively equal to 110°, 50° and 40°. Find its fourth angle
PQRS is a square such that PR and SQ intersect at O. State the measure of ∠POQ.
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 diagonals of a rectangle ABCD meet at O, If ∠BOC = 44°, find ∠OAD.
In the given figure, PQRS is a rhombus in which the diagonal PR is produced to T. If ∠SRT = 152°, find x, y and z.

Can the angles 110º, 80º, 70º and 95º be the angles of a quadrilateral? Why or why not?
All the angles of a quadrilateral are equal. What special name is given to this quadrilateral?
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.
In a quadrilateral PQRS, ∠P = 50°, ∠Q = 50°, ∠R = 60°. Find ∠S. Is this quadrilateral convex or concave?
