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ICSE Class 8 Answered

the sum of interior angles of a regular polygon is twice the sum of its exterior angles.find the number of sides of polygon.
Asked by manmeetbatth79 | 25 Feb, 2015, 04:50: PM
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L e t space n space b e space t h e space n u m b e r space o f space s i d e s space o f space t h e space p o l y g o n. H e n c e space t h e r e space a r e space n space i n t e r i o r space a n g l e s. W e space h a v e comma space s u m space o f space n space i n t e r i o r space a n g l e s space i s space open parentheses n minus 2 close parentheses cross times 180 degree W e space k n o w space t h a t space t h e space s u m space o f space e x t e r i o r space a n g l e s s space o f space a space p o l y g o n space i s space 360 degree. G i v e n space t h a t comma open parentheses n minus 2 close parentheses cross times 180 degree equals 2 cross times 360 degree rightwards double arrow open parentheses n minus 2 close parentheses equals fraction numerator 2 cross times 360 degree over denominator 180 degree end fraction rightwards double arrow n minus 2 equals 4 rightwards double arrow n equals 4 plus 2 equals 6 S o space t h e r e space a r e space 6 space s i d e s. T h e r e f o r e comma space i n space a space h e x a g o n comma space t h e space s u m space o f space i n t e r i o r space a n g l e s space i s space t w i c e space t h e space s u m space o f space i t s space e x t e r i o r space a n g l e s.
Answered by Vimala Ramamurthy | 26 Feb, 2015, 09:05: AM
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ICSE 8 - Maths
three angles of a quardilateral are in the ratio 2:5:6. if the fourth angle measures 100^○, find the other three angles of a quardilateral.
Asked by aradhanadas317 | 10 Dec, 2020, 07:56: PM
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ICSE 8 - Maths
three angles of a quardilateral are in the ratio 2:5:6. if the fourth angle measures 100^○, find the other three angles of the quardilateral.
Asked by aradhanadas317 | 09 Dec, 2020, 08:37: PM
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ICSE 8 - Maths
The perimeter of two square are 60 metres and   144 metres respectively find the perimeter of another square equal in area to the sum of the first two squares
Asked by rudraprakash181619 | 24 Dec, 2019, 03:58: PM
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ICSE 8 - Maths
A regular pentagon ABCDE and a square ABFG are formed on opposite side of AB find angle BCF
Asked by prachibadal11 | 25 Jul, 2019, 08:22: PM
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ICSE 8 - Maths
Two adjacent angles of a parallelogram are (2x+10°) and (3y-40°),find the measures of all the angles of the parallelogram. 
Asked by Cl_narayan | 15 Jul, 2019, 09:00: AM
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ICSE 8 - Maths
The ratio of the exterior and interior angle of a regular polygon is 2:3. Find the number of sides in the polygon. 
Asked by Cl_narayan | 14 Jul, 2019, 08:48: AM
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ICSE 8 - Maths
In the adjacent figure, the bisectors of angle A & angle B meet in a point P. If angle C=100° & angle D=60°,Find the measure of angle APB. 
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Asked by Cl_narayan | 14 Jul, 2019, 08:43: AM
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ICSE 8 - Maths
Please solve this doubt
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Asked by Cl_narayan | 26 Jun, 2019, 08:43: PM
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ICSE 8 - Maths
Special types of quadrilateral 
Asked by ancymadhavan79 | 26 Jun, 2019, 11:00: AM
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ICSE 8 - Maths
Find the measure of all the angles in rhombus PQRS as shown below
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Asked by Cl_narayan | 25 Jun, 2019, 05:49: PM
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