Answer:
46
Step-by-step explanation:
148 degrees minus 102 degrees equals 46 degrees
Arc CD is 46 degrees
The measure of m Arc CD is 46°.
The central angle is an angle with two arms and a vertex in the middle of a circle. The two arms intersect the circle's arc at two distinct locations to generate the circle's two radii.
Given data as:
The measure of ∠BAD = 148°
m Arc BC is 102°
The points B, C, and D lie on Circle A (see the attached figure)
According to central angle,
m ∠BAD = m Arc BC + m Arc CD
Substitute the values of m Arc BC and m Arc CD,
148° = 102° + m Arc CD
m Arc CD = 148° - 102°
m Arc CD = 46°
Hence, the measure of m Arc CD is 46°.
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