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11 votes
11 votes
PLS HELP ME OUT THANK YOU I’m studying for my mid-term!!

PLS HELP ME OUT THANK YOU I’m studying for my mid-term!!-example-1
User Aman Mathur
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1 Answer

9 votes
9 votes

Answer:

∠ ABD = 20°

Explanation:

since BD bisects ∠ ABC , then

∠ ABD = ∠ CBD ( substitute values )

3x - 1 = 34 - 2x ( add 2x to both sides )

5x - 1 = 34 ( add 1 to both sides )

5x = 35 ( divide both sides by 5 )

x = 7

Then

∠ ABD = 3x - 1 = 3(7) - 1 = 21 - 1 = 20°

User Brendan Goggin
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2.9k points