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
<u>Combine like terms.</u>
9x + 9 = 90
<u>Subtract 9 from both sides.</u>
9x = 81
<u>Divide both sides by 9.</u>
x = 9
We get x to be 9.
Now, we can plug this in for angle ABC.
7(<u>9</u>) + 15
<u>Multiply 7 and 9 together.</u>
63 + 15
<u>Add 63 and 15 together.</u>
78
The measure of ABC is 78.
That means the answer is <u>II) 78</u>.
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