Advertisements
Advertisements
प्रश्न
In the given figure : ∠b = 2a + 15 and ∠c = 3a + 5; find the values of b and c.
Advertisements
उत्तर
∵ Sum of angles of quadrilateral = 360°
70° + a + 2a + 15 + 3a + 5 = 360°
6a + 90° = 360°
6a = 270°
a = 45°
∴ b = 2a + 15 = 2 x 45 + 15 = 105°
c = 3a + 5 = 3 x 45 + 5 = 140°
Hence ∠b and ∠c are 105° and 140°
संबंधित प्रश्न
Define the following term Quadrilateral .
In a quadrilateral, define of the following Exterior .
Complete of the following, so as to make a true statement:
A quadrilateral has .... diagonals.
In Fig. 16.19, ABCD is a quadrilateral.
How many pairs of adjacent sides are there?
A quadrilateral has all its four angles of the same measure. What is the measure of each?
If the sum of the two angles of a quadrilateral is 180°. What is the sum of the remaining two angles?
In Fig. 16.20, find the measure of ∠MPN.
Determine the number of sides of a polygon whose exterior and interior angles are in the ratio 1 : 5.
Complete the following statement by means of one of those given in brackets against each:
f consecutive sides of a parallelogram are equal, then it is necessarily a ..................
ABCD is a trapezium in which AB || DC. M and N are the mid-points of AD and the respectively. If AB = 12 cm, MN = 14 cm, then CD =
Two angles of a quadrilateral are 89° and 113°. If the other two angles are equal; find the equal angles.
In a trapezium ABCD, side AB is parallel to side DC. If ∠A = 78° and ∠C = 120. find angles B and D.
Write, giving reason, the name of the figure drawn alongside. Under what condition will this figure be a square.
In a quadrilateral ABCD, ∠A = 72° and ∠C is the supplementary of ∠A. The other two angles are 2x – 10 and x + 4. Find the value of x and the measure of all the angles
In quadrilateral HOPE, the pairs of opposite sides are ______.
In quadrilateral ROPE, the pairs of adjacent angles are ______.
In quadrilateral WXYZ, the pairs of opposite angles are ______.
If the sum of two angles is equal to an obtuse angle, then which of the following is not possible?
Draw a rough sketch of a quadrilateral KLMN. State two pairs of adjacent angles.
How many points are required to form a quadrilateral?
