simkaurtx simkaurtx
  • 19-01-2024
  • Mathematics
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The measure of ∠ABD is 60° and the measure of ∠ABC is 155° . What is the measure of ∠DBC ?

The measure of ABD is 60 and the measure of ABC is 155 What is the measure of DBC class=

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3m1n3m 3m1n3m
  • 19-01-2024
Answer: [tex]\angle{DBC} = 95[/tex]

We know that [tex]\angle ABC[/tex] is equal to 60 degrees (because of angle ABD) added to DBC, and it together gives 155 degrees. So we can make equation, where x is measure of DBC:

x + 60 = 155

x + 60 = 155 |(-60)

x + 60 - 60 = 155 - 60

x = 95

So the angle DBC is equal to 95 degrees. Hope this helps!
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