Answer:
x=70
Step-by-step explanation:
angle FED and GEC are vertical angles so they both equal 50
angle DEB and CEA are also vertical angles so they both equal 20
50+20=70
There's no such thing as the "length"of an angle.
But we know what you're getting at.
You have said that the angles are complementary. If two angles are
complementary, then their sum is 90 degrees, so we can take your
two angles and write:
<u>x</u> (one angle) plus <u>(2x + 12)</u> (the other one) <u>= 90 degrees
</u><u /> x + 2x + 12 = 90<u>
</u>Subtract 12 from each side: x + 2x = 78
Add the x's on the left side: 3x = 78
Divide each side by 3 : x = 26 degrees
One angle is 'x' = <em>26 degrees</em>
The other one is (2x + 12) = 52+12 = <em>64 degrees</em>
Answer:
see explanation
Step-by-step explanation:
(a)
The angle on the circumference is half the central angle , that is
∠ A = ∠ BOC ÷ 2 = 50° ÷ 2 = 25°
(b)
Δ AOC is isosceles ( OA = OC , radii of the same circle ) then the base angles are congruent , that is
∠ ACO = ∠ A = 25°
(c)
Δ BOC is isosceles ( OB = OC, radii of the same circle ) then the base angles are congruent, that is
∠ BCO =
=
= 65°
(d)
∠ ACO + ∠ BCO = 25° + 65° = 90° ( angle in a semicircle )
Answer:
Exact circumference is 
Approximate circumference is 
Step-by-step explanation:
We are given;
- The diameter of a circle as

We are required to determine the exact and approximate circumference of the circle.
- We know that the circumference of the circle is given by;
- Circumference = πD, where D is the diameter
Taking π as 3.14


The exact circumference of the circle is 

Thus, the approximate circumference of the circle is 