Find m∠Abc. (5x+3) (3x+7)
2 answers:
The angle is a right angle so ∠ABC and ∠CBD will add up to 90°. Let's find x first.
(5x + 3) + (3x + 7) = 90
Combine like terms.
8x + 10 = 90
Subtract 10 from both sides.
8x = 80
Divide both sides by 8.
x = 10
Plug in x into ∠ABC.
5(10) + 3 = 53
m∠ABC = 53°
Right off the bat, we can notice that Angle ABD is a right angle. This means that it must add up to 90 degrees. Therefore, we can write that:

Let's combine like terms:

Solve for x:


Now, since we need to find the measure of angle ABC which is given by (5x+3), we can plug the newly found value of x in to figure it out:

Therefore,
Angle ABC = 53°.
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