Answer:
x = 22
Step-by-step explanation:
same- side exterior angles are supplementary, thus
4x + 15 + 3x + 11 = 180, that is
7x + 26 = 180 ( subtract 26 from both sides )
7x = 154 ( divide both sides by 7 )
x = 22
The length of other base of trapezoid is 10 miles
Step-by-step explanation:
The formula for area of trapezoid is:

We know that
A = 42 square miles
b_1 = 4 miles
h = 6 miles
Putting the values

The length of other base of trapezoid is 10 miles
Keywords: Area of trapezoid
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Okay, I think I understand.
Straight lines have a measure of 180°, so
52° + 59° + y = 180°
y = 69°
The measure of the inner angles of a polygon = (n - 2)180° where n is the number of sides. The shape is a triangle, so n = 3.
(3 - 2)180° = 63° + y + x
180° - 63° - (69°) = x
x = 48°