Can someone explain this?
2 answers:
<h3>Answer: angle JML is 58 degrees (choice C)</h3>
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Explanation:
Check out the attached image below. I have marked the angles with A, B, and C such that
A = angle NMJ = x+45 (in red)
B = angle JML = x+66 (in blue)
C = angle NML = 95 (in green)
The two angles A and B combine to form angle C. Angles A and B are adjacent angles.
So,
A+B = C
(x+45) + (x+66) = 95
2x+111 = 95
2x+111-111 = 95-111 .... subtract 111 from both sides
2x = -16
2x/2 = -16/2 .... divide both sides by 2
x = -8
From here we can find the angle measures
A = angle NMJ = x+45 = -8+45 = 37 degrees
B = angle JML = x+66 = -8+66 = 58 degrees
As a check,
A+B = 37+58 = 95 = C
so the answer is confirmed.
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Answer:
The area of an octagon whose perimeter is 120 cm is 1086.4
Step-by-step explanation:
An octagon is a polygon with eight sides. If the lengths of all the sides and the measurement of all the angles are equal, the octagon is called a regular octagon.
There is a predefined set of formulas for the calculation of perimeter, and area of a regular octagon.
The perimeter of an Octagon is given by
and the area of an Octagon is given by
We know that the perimeter is 120 cm, solving for side length (a) in the perimeter formula we get
Now, we calculate the area
