Find m of angle CBD
Please Help

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!

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