HELP! WILL GIVE BRAINLEST
2 answers:
Answer:
Option C: 41
Step-by-step explanation:
<ABD+<CBD=90
<ABD=8x+1
<CBD=6x+5
(8x+1)+(6x+5)=90
Combine like terms
(8x+6x)+(1+5)=90
14x+6=90
14x=90-6
14x=84
divide both sides by 14
x=6
Now we plug that value into <DBC = 6x+5
6(6)+5=
36+5
41
<u>Let's take this problem step by step</u>:
<u>∠ABC is 90 degrees</u>
⇒ made up of two angles ⇒ <em>∠ABD and ∠DBC</em>
⇒<em> in mathematical equation form:</em>
<em> </em>
<u>Since </u><u><em>∠ABD = 8x + 1 </em></u><u>and </u><u><em>∠DBC = 6x+5</em></u>
<em> </em>
<u>Let's plug it into </u><u><em>∠DBC = 6x+5</em></u>
∠DBC = 6x+5 = 6(6)+5=41
<u>Answer: ∠DBC = 41</u>
<u></u>
Hope that helps!
#LearnwithBrainly
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