Answer:
7. D. Obtuse
8. D. 5
9. C. 117°
Step-by-step 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°.
-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
Step 2: Solve.
7. The angle presented is an obtuse angle because it is more than 90°, but less than 180°.
-------------------------------------------------------------------------------------------------------------
Step 2 continued: Solve.
8. 140° and 8x° are supplementary angles; this means both angles have a sum of 180°.
[tex]140 + 8x = 180[/tex]
The first step to finding 'x' is to subtract 140 from 140 and 180.
[tex]140 - 140 = 0[/tex] (cancels itself out)
[tex]180 - 140 = 40.[/tex]
Now we are left with:
[tex]8x=40.\\[/tex]
The last step to solving this is dividing 40 by by the coefficient.
[tex]40/8=5[/tex]
[tex]x=5.[/tex]
------------------------------------------------------------------------------------------------------------
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..
[tex]180 - 63 = 117[/tex]
Angle 2 is 117°.
Here is an attachment to make number 8 easier to understand.
