Answer:
D
Step-by-step explanation:
Side andle side
Answer:
(-7, -4)
Step-by-step explanation:
The midpoint formula is expressed as;
M (X,Y) = {(x1+x2/2), (y1+y2)/2}
Given that M(-4, -3) and (x1, x2) = (-1, -2)
X = x1+x2/2
-4 = -1+x2/2
-8 = -1 + x2
x2 = -8 + 1
x2 = -7
SImilarly;
Y = y1+y2/2
-3 = -2+y2/2
-3*2 = -2+y2
-6 = -2 + y2
y2 = -6 + 2
y2 = -4
Hence the coordinate of B is (-7, -4)
Answer:
The correct answer is D. 360°
Step-by-step explanation:
The sum of all the exterior angles of a regular n-gon or a polygon is always equal to 360°.
Let us consider the image attached.
First of all let us consider the triangle.
As per the property of exterior angles: The exterior angle is equal to the sum of 2 opposite interior angles.
![\Rightarrow \angle 1=\angle B + \angle C\\\Rightarrow \angle 2=\angle A + \angle C\\\Rightarrow \angle 3=\angle A + \angle B](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cangle%201%3D%5Cangle%20B%20%2B%20%5Cangle%20C%5C%5C%5CRightarrow%20%5Cangle%202%3D%5Cangle%20A%20%2B%20%5Cangle%20C%5C%5C%5CRightarrow%20%5Cangle%203%3D%5Cangle%20A%20%2B%20%5Cangle%20B)
Where
are the interior angles of the triangle.
Adding the above equations:
![\angle 1 +\angle 2 +\angle 3 = 2 \times (\angle A +\angle B +\angle C )](https://tex.z-dn.net/?f=%5Cangle%201%20%2B%5Cangle%202%20%2B%5Cangle%203%20%3D%202%20%5Ctimes%20%28%5Cangle%20A%20%2B%5Cangle%20B%20%2B%5Cangle%20C%20%29)
The sum of interior angles of a triangle is always equal to 180°
![\angle A +\angle B +\angle C = 180^\circ](https://tex.z-dn.net/?f=%5Cangle%20A%20%2B%5Cangle%20B%20%2B%5Cangle%20C%20%3D%20180%5E%5Ccirc)
![\angle 1 +\angle 2 +\angle 3 = 2 \times 180^\circ\\\Rightarrow \angle 1 +\angle 2 +\angle 3 = 360^\circ](https://tex.z-dn.net/?f=%5Cangle%201%20%2B%5Cangle%202%20%2B%5Cangle%203%20%3D%202%20%5Ctimes%20180%5E%5Ccirc%5C%5C%5CRightarrow%20%5Cangle%201%20%2B%5Cangle%202%20%2B%5Cangle%203%20%3D%20360%5E%5Ccirc)
Hence, proved that the sum of exterior angles is
.
So, the correct answer is D. ![360^\circ](https://tex.z-dn.net/?f=360%5E%5Ccirc)