Answered

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Answer:

II) 78

Step-by-step explanation:

2x - 6 + 7x + 15 = 90

9x + 9 = 90

9x = 81

x = 9

<ABC:

7x + 15

7(9) + 15

78

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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