We first need to find the sum of the interior angles in a pentagon, which you do by doing (5 - 2) × 180, which equals 3 × 180 = 540°. Now you know that all of the angles inside the shape must add up to 540, so you can make an equation:
90 + 112 + 2x + 148 + 2x + 10 = 540
360 + 4x = 540
- 360
4x = 180
÷ 4
x = 45
I hope this helps!
9514 1404 393
Answer:
- 33.0 m
- 26.1 mi
- 28.0 mi
- 33.0 mi
Step-by-step explanation:
In each of these Law of Sines problems, you are given side a and angles B and C and asked for side c (problems 1, 3, 4) or side b (problem 2). The solution is basically the same for each:
Find the missing angle. Find the side from ...
c = a·sin(C)/sin(A)
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1. angle A = 180°-89°-58° = 33°
c = (18 m)sin(89°)/sin(33°) ≈ 33.0 m
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2. angle C = 180°-13°-17° = 150°
b = (58 mi)sin(13°)/sin(150°) ≈ 26.1 mi
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3. angle A = 180°-61°-89° = 30°
c = (16 mi)sin(61°)/sin(30°) = 28.0 mi
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4. angle A = 180°-39°-127° = 14°
c = (10 mi)sin(127°)/sin(14°) ≈ 33.0 mi
False because if it is a segment, it would only have two points at the ends so if there is points between the ones at the ends then it is multiple segments
2x^3 + 2x^2 + 5x + 1/ x^2
Answer:
92
Step-by-step explanation:
The parallelogram is divided into two triangles. Remember, angles in a triangle add up to 180 degrees. That being said, take the sum of the numbers given in triangle ABC and subtract it from 180.
60 + 28 = 88
180 - 88 = 92 (this is the measure of angle B)
Angles D and B are congruent, which means they are the same.
Since Angle B is 92 degrees, then D is 92 degrees also.
