The measure of <B and <D are 110 degrees and 70 degrees
What is Circle geometry?
The sum of the opposite angle of the quadrilateral within the circle is 360 degrees.
Given the following parameters
<B = 3x - 4
<D = 2x - 6
Equate both equations
<B + <D = 180
3x - 4 + 2x - 6 = 180
5x - 10 = 180
5x = 190
x = 190/5
x = 38
Determine the measure of <B and <D
<B = 3x - 4 = 3(38) - 4
<B = 110 degrees
<D = 2x - 6
<D = 2(38) - 6
<D = 76 - 6
<D = 70 degrees
Hence the measure of <B and <D are 110 degrees and 70 degrees
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