If M/DFC= 40 and M CD= 55 the BG=
25
80
135
2 answers:
Answer:
BG = 25°
Step-by-step explanation:
Given
∠DFC=40°
arc CD=55°
The inner angle of an arc is calculated by the semi-sum of the arcs comprising it and its opposite.
Mathematically, it is represented as follows;
∠DFC=½[CD+BG]
Open bracket
∠DFC=½ CD+½ BG]l
Make arc BG the subject of formula
½ BG = ∠DFC - ½CD
Multiply both sides by 2
BG = 2∠DFC - arc CD
By substituton,
BG = 2 * 40 - 55
BG =80°-55°
BG =25°
Hence the measurement of Arc BG is 25°
Answer:
25
Step-by-step explanation:
GC and BD are 2 intersecting chords thus the measure of the angle formed is
∠DFC = 0.5( m arc CD + m arc BG ), that is
0.5(55 + BG) = 40 ( multiply both sides by 2 )
55 + BG = 80 ( subtract 55 from both sides )
BG = 25
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