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Someone help me on this question.

Someone help me on this question.-example-1

2 Answers

3 votes

Answer:

43°

Explanation:

Since we know that ∠ADC, which is the sum of ∠ADB and ∠BDC, is 112, we can solve for x:

112 = 6x + 7 + 12x - 3

112 = 18x +4

112 - 4 = 18x → 108 = 18x

108/18 = x → 6 = x.


Now, we can substitute 6 for x in the equation for ∠ADB to get the answer:

6(6) + 7 ⇒ 36 + 7 ⇒ 43°.


Hope this helps! Have a nice day!

User Rafaljusiak
by
5.5k points
6 votes

Let's go:


6x + 7 + 12x - 3 = 112

18x + 4 = 112

18x = 112 - 4

18x = 108

x = 6


mADB = 6.6 + 7 = 43°


I hope I helped you.


User TarasLviv
by
5.7k points