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.
The angle of elevation that the instruments have to record to be at the correct height is given as 79°
<h3>How to solve for the angle of elevation</h3>
We have 2x + 70 = 180
We have to find the value of x
2x = 110
x = 55
y/sin x = 225/sin70
This is the use of sine rule
From here we would have
y = 225(sinx/sin70)
Remember x = 55
y = 225(sin55/sin70)
y = 196.1378
tanθ = 1000/y
tan θ = 1000/196.1378
tanθ = 5.098
θ = tan⁻¹5.098
= 78.90°
Hence the conclusion is that the angle of elevation has to be 78.9 degrees for it to be at the correct height.
Read more on the angle of elevation here:
brainly.com/question/88158
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Answer:
wat 12?
Step-by-step explanation:
Answer:
m∠A = 20°
Step-by-step explanation:
Triangle ABC has the following angle measures:
We know that the addition of the angles of a triangle makes 180°, therefore:
m∠A + m∠B + m∠C = 180°
Replacing with data and solving for x:
2x + 5x + 11x = 180
18x = 180
x = 180/18
x = 10°
Which makes the angles:
m∠A = 2*10 = 20°
m∠B = 5*10 = 50°
m∠C = 11*10 = 110°