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atroni [7]
1 year ago
8

Find the measure of angle b

Mathematics
2 answers:
olga2289 [7]1 year ago
7 0

Answer:

b = 65 degrees

Step-by-step explanation:

As we can see, the line that angle b and 115 deg correspond to is a straight line. A straight line <em>always</em> measures at 180 deg.

Because of this principle, we know that:

115+ b = 180

We can simplify this one variable equation now:

b=180-115\\

Now solve:

b=65

And this makes sense. Just by eyeballing the angle, we can see that it is under 90 degrees.

So, b = 65 degrees

garik1379 [7]1 year ago
3 0

Answer:

<h2><u><em>65°</em></u></h2>

Step-by-step explanation:

angles are on a straight line = sum of 180°, to find the value of "b" subtract the known angle (115°) from 180°

180 - 115 = <u><em>65°</em></u>

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<h3><u>Given Information :</u></h3>

  • Length of parallel sides = 60 ft and 40 ft
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<h3><u>To calculate :</u></h3>

  • Area of the trapezoid.

<h3><u>Calculation :</u></h3>

As we know that,

\bigstar \: \boxed{\sf {Area_{(Trapezium)} = \dfrac{1}{2} \times ( a + b) \times h}} \\

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<em>S</em><em>u</em><em>b</em><em>s</em><em>t</em><em>i</em><em>t</em><em>u</em><em>t</em><em>i</em><em>n</em><em>g</em><em> </em><em>valu</em><em>es</em><em>,</em><em> </em><em>we</em><em> </em><em>get</em><em> </em>:

\longmapsto Area = \sf \dfrac{1}{2} × ( 60 + 40 ) × 30 ft\sf ^2

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