dramaqueenactr2040
21.05.2020 •
Mathematics
Two rays have a common endpoint on a line. Set up and solve an equation to find the value of c. Find the measurements of angle QMX and angle WMJ.
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Ответ:
Alright! Let's do this!
In order to solve this problem, we must remember that the total degrees of a straight angle is 180°
In this context, this means that ∠ABC and ∠CBD added together make 180°
But the problem is... we don't know the value of those angles unless we have x.
Let's solve for x!
∠ABC + ∠CBD = 180°
∠ABC = 2x + 50
∠CBD = 6x +2
Let's plug in these "values"
(2x + 50) + (6x + 2) = 180°
Now, let's combine like terms
8x + 52° = 180°
SOLVE!
8x = 128°
x = 16°
Now we know x! With x, we can find out the value of ∠CBD
∠CBD = 6x + 2°
∠CBD = 6 (16) + 2°
∠CBD = 98°
Great Job! I hope I helped! Comment if you have any other questions!