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2 years ago

HELP! WILL GIVE BRAINLEST

Mathematics

2 answers:

trasher [3.6K]2 years ago

7 0

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

Dennis_Churaev [7]2 years ago

3 0

Let's take this problem step by step:

∠ABC is 90 degrees

⇒ made up of two angles ⇒ ∠ABD and ∠DBC

⇒ in mathematical equation form:

$ABD + DBC= ABC$

Since ∠ABD = 8x + 1 and ∠DBC = 6x+5

$8x + 1+6x + 5=90\\14x+6=90\\14x=84\\x=6$

Let's plug it into ∠DBC = 6x+5

∠DBC = 6x+5 = 6(6)+5=41

Answer: ∠DBC = 41

Hope that helps!

#LearnwithBrainly

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