Answer:
The measure of arc EF = 41°
Step-by-step explanation:
Given:
Arc DE = 73°
Now, we know from central angle theorem that the measure of central angle by an arc is twice that of the angle made by the same arc at the circumference. Therefore,
Now, we know that sum of all arcs on a circle is equal to 360°.
Therefore, arc DGF + arc DE + arc EF = 360°
Therefore, the measure of the arc EF is 41°.
Answer:
m = 1
Step-by-step explanation:
Slope is defined as m = rise / run.
As we move from (2,2) to (4,4), x increases by 2 and y increases by 2.
Thus, the slope of this line is m = rise / run = 2/2 = 1: m = 1
Answer: Michael is 72.
hope this helps
Step-by-step explanation:
Let Brandon be b. Then Michael is 3g.
3g-18=9(b-18)
3g-18=9g-162
6g=144
b=24
3g=72
The opposite angles are equal to are supplementary to each other or equal to each other.
<h3>What is a Quadrilateral Inscribed in a Circle?</h3>
In geometry, a quadrilateral inscribed in a circle, also known as a cyclic quadrilateral or chordal quadrilateral, is a quadrilateral with four vertices on the circumference of a circle. In a quadrilateral inscribed circle, the four sides of the quadrilateral are the chords of the circle.
The opposite angles in a cyclic quadrilateral are supplementary. i.e., the sum of the opposite angles is equal to 180˚.
If e, f, g, and h are the inscribed quadrilateral’s internal angles, then
e + f = 180˚ and g + h = 180˚
by theorem the central angle = 2 x inscribed angle.
∠COD = 2∠CBD
∠COD = 2b
∠COD = 2 ∠CAD
∠COD = 2a
now,
∠COD + reflex ∠COD = 360°
2e + 2f = 360°
2(e + f) =360°
e + f = 180°.
Learn more about this concept here:
brainly.com/question/16611641
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