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Papessa [141]
4 years ago
7

M∆abc=17x+8,m∆abk=42°, and m∆kbc=12x-4. Find m∆abc

Mathematics
1 answer:
wolverine [178]4 years ago
8 0
So, we have as a given that:
measure angle ABK + measure angle KBC = measure angle ABC

Substitute with the givens and solve for x first.
42 + 12x - 4 = 17x + 8
42 - 4 - 8 = 17x - 12x
30 = 5x
x = 30/5 = 6

Therefore:
measure angle ABC = 17x + 8 = 17(6) + 8 = 110 degrees
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