Answer:
114 degrees
Step-by-step explanation:
The formula to find the measure of all angles in a regular polygon is 
, where n = total number of sides.
Thus, we substitute n for 10, and you get:
If the shape is a regular polygon and it has ten sides, meaning all sides are equal, then all you do is divide 1440 by 10, to get the final answer of 114.
A central angle in a regular ten-sided polygon would be 144 degrees.
Answer:
5/8 * 7/2
Step-by-step explanation:
Whenever you divide fractions, you can use the 'keep change flip' method.
You keep 5/8, change the division sign to multiplication, and then flip the second fraction.
1. 5/8 / 7/2 - Keep 5/8
2. 5/8 * 7/2 - Change division sign
3. 5/8 * 2/7 - Flip the second fraction, 7/2 -> 2/7
Answer:
c
Step-by-step explanation:
The line from an incenter to a vertex bisects the angle that is produced there. You probably notice this in angle ASB and angle ARC. Therefore, angle ZTB is going to be equal to half of the angle measure of BTC. We can do the following:
24+24+35+35+x+x=180 (x represents the two angles in angle BTC when they are bisected)
simplifies to
2x+118=180
Solving for x, we get that x=31.
So angle ZTB=31.
:)
