Answer:
see explanation
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
The polygon here has 8 sides, that is n = 8, thus
sum = 180° × 6 = 1080°
Sum the given angles and equate to 1080, that is
14x + 133 + 167 + 138 + 18x + 115 + 151 + 120 = 1080
32x + 824 = 1080 ( subtract 824 from both sides )
32x = 256 ( divide both sides by 32 )
x = 8
Thus the 2 unknown angles are
14x = 14 × 8 = 112°
18x = 18 × 8 = 144°
Answer:
the total area is 15.6 square units
Step-by-step explanation:
hello,
you can find the total area dividing the shape into two known shapes
total area= area of the trapezoid +area of the semicircle
then
step one
find the area of the isosceles trapezoid using

where
a is the smaller base
b is the bigger base
h is theheight
A is the area
let
a=2
b=5
h=4
put the values into the equation

Step two
find the area of the semicircle
the area of a circle is given by

but, we need the area of half circle, we need divide this by 2

now the diameter of the semicircle is 2, put this value into the equation

find the total area
total area= area of the trapezoid +area of the semicircle

so, the total area is 15.6 square units
Have a good day.
Answer:
105.26
Step-by-step explanation: