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
The perimeter of a parallelogram is 22 cm . If the longer side measures 6.5 cm what is the measure of the shorter side?
ABCD is a parallelogram, AD is produced to E so that DE = DC and EC produced meets AB produced in F. Prove that BF = BC.
In a quadrilateral, define of the following Diagonals .
In a quadrilateral, define of the following Interior .
In Fig. 16.20, find the measure of ∠MPN.

The measure of angles of a hexagon are x°, (x − 5)°, (x − 5)°, (2x − 5)°, (2x − 5)°, (2x + 20)°. Find the value of x.
In the given figure : ∠b = 2a + 15 and ∠c = 3a + 5; find the values of b and c.

The following figure shows a quadrilateral in which sides AB and DC are parallel. If ∠A : ∠D = 4 : 5, ∠B = (3x – 15)° and ∠C = (4x + 20)°, find each angle of the quadrilateral ABCD.

In a pentagon ABCDE, AB || ED and ∠B = 140°, ∠C = 2x° and ∠D = 3x°. Find ∠C and ∠D
If one angle of a cyclic quadrilateral is 75°, then the opposite angle 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 ______.
If APB and CQD are two parallel lines, then the bisectors of the angles APQ, BPQ, CQP and PQD form ______.
In the following figure, if point A is shifted to point B along the ray PX such that PB = 2PA, then the measure of ∠BPY is ______.

The number of right angles in a straight angle is ______ and that in a complete angle is ______.
In the following figure, name any four angles that appear to be acute angles.

In the following figure, What is AE + EC?

Using the information given, name the right angles in part of figure:
RS ⊥ RW

Draw a rough sketch of a quadrilateral PQRS. Draw its diagonals. Name them. Is the meeting point of the diagonals in the interior or exterior of the quadrilateral?
Draw a rough sketch of a quadrilateral KLMN. State two pairs of adjacent sides.
