Point C is in the interior of angle ABD. The measure of angle ABD is 40 degrees. The measure of angle DBC is 3x-5. If angle ABC is 22 degrees, what is "x"?
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To find the value of "x", we need to use the given information about angles ABD, DBC, and ABC.
We know that angle ABD is 40 degrees and angle ABC is 22 degrees. Since point C is in the interior of angle ABD, the sum of angles ABC and DBC should be equal to angle ABD.
So, we can set up the equation:
angle ABC + angle DBC = angle ABD
22 + (3x - 5) = 40
Now, let's solve for "x" by combining like terms and isolating it:
22 + 3x - 5 = 40
3x + 17 = 40
3x = 40 - 17
3x = 23
x = 23/3
Therefore, the value of "x" is 23/3.
draw the picture.
well, 40=22+3x-5 solve for x