If two angles of a quadrilateral are 40° and 110° and the other two are in the ratio 3 : 4, find these angles.
Rectilinear Figures
86 Likes

Question

If two angles of a quadrilateral are 40° and 110° and the other two are in the ratio 3 : 4, find these angles.

KnowledgeBoat · Accepted Answer

Sum of angles of quadrilateral = 360°. Let other two angles be 3x and 4x. ∴ 3x + 4x + 40° + 110° = 360° ⇒ 7x + 150° = 360° ⇒ 7x = 360° - 150° ⇒ 7x = 210° ⇒ x = ⇒ x = 30° ⇒ 3x = 3(30°) = 90° and 4x = 4(30°) = 120°. Hence, other two angles are 90° and 120°.

Mathematics

If two angles of a quadrilateral are 40° and 110° and the other two are in the ratio 3 : 4, find these angles.

Rectilinear Figures

Related Questions

If the angles of a quadrilateral, taken in order, are in the ratio 1 : 2 : 3 : 4, prove that it is a trapezium.

If an angle of a parallelogram is two-thirds of its adjacent angle, find the angles of the parallelogram.

In the figure (1) given below, ABCD is a parallelogram in which ∠DAB = 70°, ∠DBC = 80°. Calculate angles CDB and ADB.

In figure (2) given below, ABCD is a parallelogram. Find the angles of △AOD.