Advertisements
Advertisements
प्रश्न
Find the angles of a pentagon which are in the ratio 4: 4: 6: 7: 6.
उत्तर
A pentagon has 5 sides
∴ Sum of interior angles
= (n - 2) x 180°
= (5 - 2) x 180°
= 3 x 180°
= 540°
Ratio of the angles
= 4: 4: 6: 7: 6
∴ The interior angles are 4x°, 4x°, 6x°, 7x° and 6x°.
∴ 4x° + 4x° + 6x° + 7x° + 6x° = 540°
⇒ 27x° = 540°
⇒ x° = 20°
The interior angles of the pentagon are 80°, 80°, 120 , 140° and 120°.
APPEARS IN
संबंधित प्रश्न
In a quadrilateral, define of the following Exterior .
Complete of the following, so as to make a true statement:
The number of pairs of adjacent angles of a quadrilateral is .......
In Fig. 16.19, ABCD is a quadrilateral.
Name a pair of opposite angles.
Complete the following statement by means of one of those given in brackets against each:
If both pairs of opposite sides of a quadrilateral are equal, then it is necessarily a ...............
One diagonal of a rectangle is 18 cm. What is the length of its other diagonal?
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 ______.
Which of the following is not true for a parallelogram?
Using the information given, name the right angles in part of figure:
RS ⊥ RW
Using the information given, name the right angles in part of figure:
AC ⊥ CD
Draw a rough sketch of a quadrilateral KLMN. State two pairs of opposite sides.
