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ratelena [41]
4 years ago
8

Suppose point D is in the interior of ∠ABC

Mathematics
1 answer:
pashok25 [27]4 years ago
3 0

Answer:

ABC = 130

Step-by-step explanation:

Given

ABC=12x - 110

ABD=3x+40

DBC=2x - 10

Required

Determine the measure of ABC --- <em>Missing part of the question</em>

<em></em>

First, we need to determine the value of x

Since, D is an interior of ABC, then

ABC = ABD + DBC

12x - 110 = 3x + 40 + 2x - 10

Collect Like Terms

12x - 3x - 2x  = 110 + 40 - 10

7x  = 140

Solve for x

x = 140/7

x = 20

Substitute 20 for x in ABC=12x - 110

ABC = 12 * 20 - 110

ABC = 240 - 110

ABC = 130

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