Answer:

Step-by-step explanation:
The equation of a circle is given by
, where
is the center of the circle and
is the radius of the circle.
From the diagram, we can find the following:
- the radius of the circle is 4
- the center of the circle is located at (1,6)
Thus, we have:

Answer:
- base angles of an isosceles triangle
- angles at successive corners of any regular polygon
- angles either side of an angle bisector
- angles made by a perpendicular to a line (excluding vertical angles)
Step-by-step explanation:
When it comes to angles, the term "adjacent" means different things in different contexts. Any pair of angles in a triangle are considered to be adjacent. The base angles of an isosceles triangle are adjacent congruent angles.
Angles at successive corners of any regular polygon are congruent adjacent angles.
Angle that have a common vertex and a common side are also called adjacent angles. Angles on either side of an angle bisector are adjacent congruent angles. Likewise any non-vertical pair of angles where lines cross at right angles are adjacent congruent angles.
Answer:
x = 5
Step-by-step explanation:
4x = 1x + 15
subtract 1x from both sides
3x = 15
divide 3 from both sides
x = 5