Advertisements
Advertisements
प्रश्न
The sum of two angles is 5πc and their difference is 60°. Find their measures in degrees.
उत्तर
We know that, 1c = `(180/pi)^circ`
∴ 5πc = `(5pi xx 180/pi)^"c"` = 900°
Let the degree measures of the angles be x and y.
Then x + y = 900° ...(1)
and x – y = 60° ...(2)
2x = 960°
x = 480°
Adding (1) and (2), we get,
2x = 960° ∴ x = 480°
∴ Substituting the value of x in (1), we get
480° + y = 900°
∴ y = 900° − 480°
∴ y = 420°
Hence, the degree measures of the two angles are 480° and 420°.
APPEARS IN
संबंधित प्रश्न
Convert the following angle into radian:
−132°
Convert the following angles into radian:
65°30′
Convert the following angles into radian:
75°30′
Convert the following angles into radian:
40°48′
Convert the following angles in degree.
`(7pi^"c")/12`
Convert the following angles in degree:
`(-5pi^"c")/3`
Convert the following angles in degree:
5c
Convert the following angles in degree:
`(11pi^"c")/18`
Convert the following angles in degree:
`((-1)/4)^"c"`
Express the following angle in degree, minute and second:
`(1/5)^"c"`
In ∆ABC, if m∠A = `(7pi^"c")/36`, m∠B = 120°, find m∠C in degree and radian.
In a right angled triangle, the acute angles are in the ratio 4:5. Find the angles of the triangle in degrees and radians.
The measures of the angles of a triangle are in A.P. and the greatest is 5 times the smallest (least). Find the angles in degrees and radian.
In a cyclic quadrilateral two adjacent angles are 40° and `pi^"c"/3`. Find the angles of the quadrilateral in degrees.
One angle of a quadrilateral has measure `(2pi^"c")/5` and the measures of other three angles are in the ratio 2 : 3 : 4. Find their measures in degree and radian.
Find the degree and radian measure of exterior and interior angle of a regular pentagon.
Find the degree and radian measure of exterior and interior angle of a regular Heptagon.
A pendulum of length 14 cm oscillates through an angle of 18°. Find the length of its path.
Select the correct option from the given alternatives :
156° is equal to
Select the correct option from the given alternatives :
A pendulum of 14 cm long oscillates through an angle of 12°, then the angle of the path described by its extremities is
Select the correct option from the given alternatives :
20 metres of wire is available for fencing off a flower-bed in the form of a circular sector of radius 5 metres, then the maximum area (in sq. m.) of the flower-bed is
Select the correct option from the given alternatives :
If the angles of a triangle are in the ratio 1 : 2 : 3, then the smallest angle in radian is ______.
Answer the following :
Find the number of sides of a regular polygon, if each of its interior angle is `(3pi^"c")/4`.
Answer the following :
Find the radius of the circle in which central angle of 60° intercepts an arc of length 37.4 cm.
Answer the following :
A wire of length 10 cm is bent so as to form an arc of a circle of radius 4 cm. What is the angle subtended at the centre in degree ?
Show that the minute-hand of clock gains 5°30' on the hour-hand in one minute.
Answer the following :
A train is running on a circular track of radius 1 km at the rate of 36 km per hour. Find the angle, to the nearest minute, through which it will turn in 30 seconds.
