Answer:
Step-by-step explanation:
The formula of an area of a trapezoid:
<em>b₁, b₂</em> - <em>bases</em>
<em>h</em><em> - height</em>
We must use the Pythagorean theorem:
<em>subtract 64 from both sides</em>
We have <em>b₁ = 6 + 6 = 12m</em>, <em>b₂ = 6m</em> and <em>h = 8m</em>.
Substitute:
When you have two parallel lines being cut by a transversal, you can use the next statements for the angles:
The measurement of the angles in green is the same (are congruents)
The measurement of the angles in blue is the same (are congruents)
An angle in green is a complementary angle with an angle in blue. (The addition of the two angles has to be 180º)
You know that:
As the angle 3 is congruent with angle 2:
