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NEED HELP ASAP 20 POINTS GIVEN

The measure of ∠DAB equals 110º. The measure of ∠ACB equals 20º.What is m∠ABC?
 
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NEED HELP ASAP 20 POINTS GIVEN The measure of ∠DAB equals 110º. The measure of ∠ACB-example-1
User Trx
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6.2k points

2 Answers

2 votes

The answer is 90º

Proof:


NEED HELP ASAP 20 POINTS GIVEN The measure of ∠DAB equals 110º. The measure of ∠ACB-example-1
User Cody Reichert
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7.0k points
4 votes
The first step is always to make an illustration of the problem. My understanding of the problem is shown in the attached picture. To make the problem easier to solve, I assumes that points C, A and D are collinear. Because if it isn't we can't find any relations that can solve the problem.

∠DAB and ∠CAB are supplementary angles. So,
∠CAB = 180 - 110 = 70°

Since a triangle has 180° altogether,
x = ∠ABC = 180 - 70 - 20 = 90°
User Christos Papoulas
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6.4k points
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