Answer and Step-by-step explanation:
To find the measure of angle ABC, we need to find what x is first. We accomplish this by adding together the two angles and setting it equal to 90.
2x - 6 + 7x + 15 = 90
Combine like terms.
9x + 9 = 90
Subtract 9 from both sides.
9x = 81
Divide both sides by 9.
x = 9
We get x to be 9.
Now, we can plug this in for angle ABC.
7(9) + 15
Multiply 7 and 9 together.
63 + 15
Add 63 and 15 together.
78
The measure of ABC is 78.
That means the answer is II) 78.
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