Answer:
The correct answer is option D. 69°
Step-by-step explanation:
Points to remember
1). The sum of angles in a linear pair is 180°
2). In a triangle sum of two angles are equal to the exterior angle of third angle
From the figure we can see a triangle in which two exterior angles area given.
<u>To find the value of n</u>
from figure we get,
n = (interior angle of 131° + interior angle of 160°)
interior angle of 131° = 180 - 131 = 49°
interior angle of 160° = 180 - 160 = 20°
n = 49° + 20° = 69°
Therefore the correct answer is option D. 69°
Answer:
x=67
y=40
The angles equal 63 and 117
Step-by-step explanation:
88% sure
Answer:
The value of n is 21.
Step-by-step explanation:
We are given that three of the exterior angle of the n-sided polygon are 50° each two of its interior angle are 127° and 135° and the remaining interior angle are 173 each.
As we know that the sum of all exterior angles of the polygon is 360°. Also, the number of remaining interior angles will be (n - 5).
And, the exterior angle = 180° - the interior angle.
So, according to the question;
150 + 53 + 45 + 7(n - 5) = 360
248 + 7n - 35 = 360
213 + 7n = 360
7n = 360 - 213
7n = 147
n =
n = 21
Hence, the value of n is 21 and this is a 21-sided polygon.
Answer:
Step-by-step explanation:
Rearrange the terms and take out a common factor of 4
4(8x^2 + 2x + 1)
I think this is as far down as you want to take it. It gives an imaginary root which you may not be familiar with.