Answer:
DE=145
Step-by-step explanation:
Both circles are congruent and so are the triangles, because of the radius. So mDE is also 145
Answer: 85°
Step-by-step explanation:
Trig functions are remembered by
SOD CAD TOA,
sin = opposite / distance, cos = adjacent / distance, and tan = opposite / adjacent.
Here we have the adjacent side = 100, opposite side = 1058. The tower would fall over if it weren't vertical, and we assume the area is flat and level. So tangent of the answer is 10.58.
We need the angle whose tangent is 10.58.
On Android calculator you swipe left to get the trig functions, tap INV, if RAD is showing tap it to change it to DEG, and tap tan⁻¹. Swipe right and you see tan⁻¹(. Enter 10.58 and the result shows 84.6005606. If it shows 1.47655833 tap the RAD in upper left to change to DEG.
If the exterior angle is 25o then the interior angle is its supplement.
The interior angle = 180 - 25 = 155 degrees. All angles are equal in the interior.
The sides aren't.
I'm hoping you get an answer besides mine. I can take you so far.
The formula for an interior angle is
180(1 - 2/n) = Interior angle. When you solve this you get
180(1 - 2/n) = 155
1 - 2/n = 155/180
1 - 2/n = 0.86111111
- 2/n = 0.8611111 - 1
2/n = 0.13888888
2 / 0,1388888 = n
n = 14.4
You can google equiangular polygon theorem to see where I got the formula. The problem is that I really don't know how to interpret the answer. It looks like you have 14 conguent sides and 1 that is 0.4 left over. The figure might still be equiangular.
