Answer:
8
Step-by-step explanation:
Considering the given value of sum of interior angles with exclusion of one to be 1070 then we can write it as
1070=180(n-2) where n is the number of sides required here.
Making n the subject of the formula then following step by step
Therefore, the shape is octagon and it has 8 sides.
Step-by-step explanation:
can you please add details to your question
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The question said that it told you the base angles. A roof would have two equal base angles. The base angles= 53
All the angles of a triangle each 180, (the roof is shaped like a triangle)
So, let's make x the missing angle.
53(2)+x=180
106+x=180
Subtract 106 on both sides.
180-106= 74
The vertex angle is 74.
I hope this helps!
~cupcake
Luckily for us, the diagram already divided this figure into separate polygons. What I will be explaining is basically the addition of the areas of all the separate polygons. The area of the uppermost triangle is:
1/2 x b x h
= 1/2 x 20 x 8
(the base is 20, because in a parallelogram, opposite sides are congruent)
=10 x 8
= 80 in. squared
The next polygon we will be taking the area of is the parallelogram with the base length of 20 and the height of 16.
Area = b x h
= 20 x 16
= 320 in. squared
Now all we have left to do is add the two areas to obtain the total area.
Total Area = 320 + 80 = 400 in. squared
