Answer:
p=12
Step-by-step explanation:
DBC = 180
ABE = 180
ABC + DBA = 180
ABC = (5p -28)
DBA + (12p -4)
CBD = ABC + DBA = 180
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180 = (5p - 28) + (12p + 4)
180 = 17p - 24
204 = 17p
12 = p
p = 12
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180 = (5(12) - 28) + (12(12) +4)
180 = 60 - 28 + 144 +4
180 = 180
Arc ML = 2×∠MNL
= 2×43°
= 86°
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The measure of an inscribed angle is half the measure of the arc it intercepts. This simple relationship is used in many geometry problems, so is worth remembering (or at least, writing down in a handy place).
