Advertisements
Advertisements
Question
Two angles of a quadrilateral are 89° and 113°. If the other two angles are equal; find the equal angles.
Advertisements
Solution
Let the other angle = x°
According to given,
89° + 113° + x° + x° = 360°
2x° = 360° – 202°
2x° = 158°
x° = `158/2`
other two angles = 79° each
RELATED QUESTIONS
How many diagonals does following have?
A convex quadrilateral
In a quadrilateral, define of the following Opposite angles .
In a quadrilateral, define of the following Exterior .
Complete of the following, so as to make a true statement:
A quadrilateral has ....... sides.
Complete of the following, so as to make a true statement:
The measure of each angle of a convex quadrilateral is ..... 180°.
In Fig. 16.19, ABCD is a quadrilateral.
Name a pair of adjacent angles.

In Fig. 16.21, the bisectors of ∠A and ∠B meet at a point P. If ∠C = 100° and ∠D = 50°, find the measure of ∠APB.

In a trapezium ABCD, side AB is parallel to side DC. If ∠A = 78° and ∠C = 120. find angles B and D.
In an isosceles trapezium one pair of opposite sides are _____ to each Other and the other pair of opposite sides are _____ to each other.
In parallelogram ABCD, its diagonals intersect at point O. If OA = 6 cm and OB = 7.5 cm, find the length of AC and BD.

If three angles of a quadrilateral are 90° each, show that the given quadrilateral is a rectangle.
Write, giving reason, the name of the figure drawn alongside. Under what condition will this figure be a square.

Observe the figure below and find out their name.

In the quadrilateral ABCD, AB = BC and AD = DC Measure of ∠BCD is
If bisectors of ∠A and ∠B of a quadrilateral ABCD intersect each other at P, of ∠B and ∠C at Q, of ∠C and ∠D at R and of ∠D and ∠A at S, then PQRS is a ______.
What is the maximum number of obtuse angles that a quadrilateral can have?
The common part between the two angles BAC and DAB in the following figure is ______.

In the following figure, What is BD – DE?

Using the information given, name the right angles in part of figure:
BA ⊥ BD

Using the information given, name the right angles in part of figure:
AC ⊥ BD

