Question

Help please with math!

Answer 1

7. D. Obtuse

8. D. 5

9. C. 117°

Explanation:

Step 1: Define.

• Acute angles - angles less than 90°
• Right angles - angles that equal 90°
• Straight angles - angles that equal 180°
• Obtuse angles - angles above 90° but less than 180°.

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Step 2: Solve.

7. The angle presented is an obtuse angle because it is more than 90°, but less than 180°.

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Step 2 continued: Solve.

8. 140° and 8x° are supplementary angles; this means both angles have a sum of 180°.

`140 + 8x = 180`

The first step to finding 'x' is to subtract 140 from 140 and 180.

`140 - 140 = 0` (cancels itself out)

`180 - 140 = 40.`

Now we are left with:

`8x=40.\\`

The last step to solving this is dividing 40 by by the coefficient.

`40/8=5`

`x=5.`

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Step 2 continued: Solve.

9. As I mentioned before, supplementary angles are two angles that have a sum of 180°.

If angle 1 is 63, then angle 2 is..

`180 - 63 = 117`

Angle 2 is 117°.

Here is an attachment to make number 8 easier to understand.