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Given that m∠ABC = 143°, find m∠ABD and m∠DBC.
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Given that m∠ABC = 143°, find m∠ABD and m∠DBC.

Given that m∠ABC = 143°, find m∠ABD and m∠DBC.-example-1
User Csuo
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1 Answer

5 votes

Answer:

m<ABD = 24°

m<DBC = 119°

Explanation:

m<ABD + m<DBC = m<ABC

2x - 40 + 3x + 23 = 143

5x - 17 = 143

5x = 160

x = 32

m<ABD = 2x - 40 = 2(32) - 40 = 24

m<ABD = 24°

m<DBC = 3x + 23 = 3(32) + 23 = 119

m<DBC = 119°

User Giraffe Lion
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