Answer: 27.69⁰
Step-by-step explanation:
Formula for finding the internal angle of a regular polygon is
( 2n - 4 )right angle triangle or
( 2n - 4 )90°, it can also be broken down by factorizing the expression since 2 is common,
( n - 2 )180 or supplementary
Now to find the value of n which correspond to the number of sides the polygon has, we equate the formula to the angle sum of the polygon.
( n - 2 ) × 180° = 1980°
open the bracket
180n° - 360° = 1980°
180n° = 1980° + 360°
= 2340
To find n, divide by 180 which is the coefficient of n
n = ²³⁴⁰/₁₈₀
= 13
The polygon has 13, sides
To find the measure of each angle,
Recall, the sum total of external angle = 360⁰
Therefore, to find the value of each of the angles, we divide 360 by n which is 13
³⁶⁰/n
= ³⁶⁰/₁₃
= 27.69⁰
The answers would be pyramid and triangular prism.
we have: ∠P + ∠Q + ∠R = 180°
<=> (4x – 14)º + (5x + 6)° + (x - 2)° = 180°
<=> 4x – 14 + 5x + 6 + x - 2 = 180°
<=> 10x - 10 = 180°
<=> 10x = 190
<=> x = 19°
So: ∠R = (x - 2)° = (19 - 2)° = 17°
ok done. Thank to me :>
560% as a decimal = 5.6
(move the decimal points 2 spaces to the left.)
560% as a mixed number = 5 3/5
(divide 560 by 100; 100 goes into 560 5 times so 5 will be your whole number and since you have 60 left you divide 60 by 100; 60/100 can be reduced to 3/5 if you divide the numerator and the denominator by 20)
hope this helps :)
