Question

1.If mZA = 4x+12 and x = 15, is ZA acute, obtuse, or right? Explain or justify your answer.

2.Given: ZBAM is a right angle. If mZBAM = 4x + 22, then solve for the value of x.

Answer 1

9514 1404 393

Answer:

1. acute
2. 17

Explanation:

1. Put the value of x in the expression and see what the angle measure is.

m∠A = 4x +12 = 4(15) +12 = 60 +12 = 72

The angle is less than 90°, so is acute.

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2. The measure of a right angle is 90°, so you have ...

4x +22 = 90

4x = 68 . . . . . subtract 22; next, divide by 4

x = 17