Question

HELP! WILL GIVE BRAINLEST
Examine the following diagram: in the photo I attached of the question
What is the measure of DBC?
2°
6°
41°
49°

Answer 1

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

Answer 2

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!

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