Answer:
55 degrees
Step-by-step explanation:
Given that a circle and inside two chords with same arc length.
We are to find the angle between the two chords.
Given that two arcs subtend angle 125 degrees at the centre.
Let us join the two ends of chords to make the figure as a triangle inside a circle.
The triangle is isosceles as two arcs and hence chords are equal.
By central angle theorem we have the two equal angles as 1/2 (125) = 62.5
Hence we have a triangle with two equal angles 62.5 and another angle 1.
By triangle sum of angles theorem
angle 1+62.5+62.5 = 180
Hence angle A = 180-62.5-62.5 = 55 degrees.
Answer:
Stop believing that you are ugly.
Answer:
FALSE
Step-by-step explanation:
246=2*3*41
If n=2 then 123=3*41 is not a multiple of n
FALSE
More card math! Easy!!
Exactly 1/4 of a 52-card deck of cards is clubs. Another 1/4 spades, another 1/4 is hearts, and the final 1/4 is diamonds. To find what one fourth of 52is, you can divide 52 by 4. That equals 13. So there are 13 clubs in the entire deck of cards. If you are trying <em>not </em>to get a club, you have to find the remainder of the cards without those 13. 52 - 13 = 39. This means that you have 39/52 odds of <em>not </em>getting a club. Simplified you get 3/4.
I did it the long way. A shorter was is to see that, obviously, one whole minus one fourth is three fourths.
Answer:
A rule of polygons is that the sum of the exterior angles always equals 360 degrees. Since it is a regular octagon, so each of the interior angles of octagon are equal. ((n-2)*180)/n where n is the number of sides of the polygon.for example in case n=8 for an octagon, so we get:
((8-2)*180)/8 => (6*180)/8 => 1080/8 = 135 degrees. This means that each interior angle of the regular octagon is equal to 135 degrees.
Each exterior angle is the supplementary angle to the interior angle at the vertex of the polygon, so in this case each exterior angle is equal to 45 degrees. (180 - 135 = 45). Remember that supplementary angles add up to 180 degrees.
And since there are 8 exterior angles, we multiply 45 degrees * 8 and we get 360 degrees.
This technique works for every polygon, as long as you are asked to take one exterior angle per vertex.
