Answer:
Step-by-step explanation:
let one diagonal=x
other diagonal=3x
area=1/2 (x±3x)=3/2 x²=54
x²=54×3/2=81
x=9 cm
3x=3×9=27
sum of diagonals=x+3x=4x=4×9=36 cm
You know that a straight line has an angle of 180 degrees;
48+x+x=180 <-- since they are all on the same time
48+2x=180
2x=180-48
2x=132
x=132/2
x=66
Therefore, the x value is 66 degree.
Hope I helped :)
Answer:
m(ABC) = 218°
Step-by-step explanation:
The measure of any arc with end points of an inscribed angle = 2 × inscribed angle
Inscribed angle = m<AMC = 109°
Intercepted arc = m(ABC)
Therefore,
m(ABC) = 2 × 109°
m(ABC) = 218°
I think the answer is going to be a
Answer:
Interior Angle: 165°
Exterior Angle: 15°
Step-by-step explanation:
So first you have to find the sum of all interior angles of a polygon with <u>24 sides</u>. This can be found using the formula:
sum = ( <em>n</em> - 2 ) * 180° where '<em>n</em>' is the number of sides.
When '<em>n</em> = 24' then the sum is:
sum = ( 24 - 2 ) * 180°
Simplify and solve.
sum = 22 * 180°
sum = 3960°
Since there are 24 sides to the polygon, there are 24 interior angles. <u>Assuming that this polygon is equilateral</u>, you can surmise that:
<em>Interior Angle</em> = sum° / <em>n</em> where n is the number of sides,
3960° / 24 = 165° = Interior Angle
Using that information, and combine it with the [Supplementary Angles Theorem] the exterior angle can be found by:
165° + x = 180°
Solve for x.
