Point D is in the interior of ZABC, m ABC = 10x - 7, m_ABD = 6x + 5, and m DBC = 36. What is m ABD?
1 answer:
Answer:
<h3>77</h3>
Step-by-step explanation:
If Point D is in the interior of <ABC, then <ABD+<BDC = <ABC
Given
<ABC = 10x - 7,
<ABD = 6x + 5
<DBC = 36
Substituting the given parameters into the formula above;
ABD+<DBC = <ABC
6x + 5+ 36 = 10x-7
6x+41 = 10x-7
collect like terms
6x-10x = -7-41
-4x = -48
divide both sides by -4
-4x/-4 = -48/-4
x = 12
To get <ABD, we will substitute x = 12 into the expression <ABD = 6x + 5
<ABD = 6(12)+5
<ABD = 72+5
<ABD =77
Hence the value of <ABD is 77
You might be interested in
<h2>
Answer:</h2><h2>
20p - 42</h2><h2>
Hope this helps!!</h2>
Answer:
x = (125,0) y = (0,275)
Step-by-step explanation:
I think this is right, good luck!
Answer:
7/10
Step-by-step explanation:
B. Banks want to know if it's risky or not to loan you money