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°
APPEARS IN
संबंधित प्रश्न
Complete of the following, so as to make a true statement:
A quadrilateral has ..... vertices, no three of which are .....
Complete of the following, so as to make a true statement:
In a quadrilateral the point of intersection of the diagonals lies in .... of the quadrilateral.
In Fig. 16.19, ABCD is a quadrilateral.
How many pairs of opposite sides are there?
In Fig. 16.19, ABCD is a quadrilateral.
Name a pair of opposite angles.
If the sum of the two angles of a quadrilateral is 180°. What is the sum of the remaining two angles?
In a quadrilateral ABCD, the angles A, B, C and D are in the ratio 1 : 2 : 4 : 5. Find the measure of each angle of the quadrilateral.
PQRSTU is a regular hexagon. Determine each angle of ΔPQT.
Complete the following statement by means of one of those given in brackets against each:
If in a quadrilateral only one pair of opposite sides are parallel, the quadrilateral is ................
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 =
Observe the figure below and find out their name.
The three angles of a quadrilateral are 71°, 110°, 95°. Find its fourth angle.
The angles of a hexagon are (2x + 5)°, (3x - 5)°, (x + 40)°, (2x + 20)°, (2x + 25)° and (2x + 35)°. Find the value of x.
In the figure, PQRS and PTVS are two cyclic quadrilaterals, If ∠QRS = 100°, then ∠TVS =
Both the pairs of opposite angles of a quadrilateral are equal and supplementary. Find the measure of each angle.
The number of obtuse angles in the following figure is ______.
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:
RT ⊥ ST
Using the information given, name the right angles in part of figure:
AC ⊥ CD
How many diagonals does a quadrilateral have?
In quadrilateral PQRS, which pair represents adjacent sides?
