Find the measure of one interior angle for the following regular polygon
1 answer:
Answer:
108 degrees
Step-by-step explanation:
The formula for the total sum of the angles in any REGULAR shape is
, where n represents the number of sides.
The shape in the picture shown is a pentagon (5 sides).
=
So the angle sum is 540 degrees.
Again, we are told that it is a regular polygon, meaning all sides and angles in the shape are equal.
So to find one angle, just divide it by the number of sides.
You might be interested in
Answer:
Step-by-step explanation:
A complex number is defined as z = a + bi. Since the complex number also represents right triangle whenever forms a vector at (a,b). Hence, a = rcosθ and b = rsinθ where r is radius (sometimes is written as <em>|z|).</em>
Substitute a = rcosθ and b = rsinθ in which the equation be z = rcosθ + irsinθ.
Factor r-term and we finally have z = r(cosθ + isinθ). How fortunately, the polar coordinate is defined as (r, θ) coordinate and therefore we can say that r = 4 and θ = -π/4. Substitute the values in the equation.
Evaluate the values. Keep in mind that both cos(-π/4) is cos(-45°) which is √2/2 and sin(-π/4) is sin(-45°) which is -√2/2 as accorded to unit circle.
Hence, the complex number that has polar coordinate of (4,-45°) is