Question 1190344: You are building a gazebo for your mom; you want it to look like the picture below.
https://api.agilixbuzz.com/Resz/~0.GdgNB1aAgR8rzOIK.w_qyORvbuMWcugNpLlmTiJxbY3wfLwWkVK25oV0_CNs/48780464,D0,15,4/Assets/Media/Images/41.6-HOT3-Gazebo.jpg
a. Using geometry, name which quadrilaterals you see in the picture.
b. What type of quadrilateral is each side of the roof (see inset)?
c. What specific type must it be in order for each side of the roof to fit properly?
d. What is the length of the opposite leg on the side of the roof?
e. What measure is the other base angle?
f. What is the measure of the opposite angles?
Answer by greenestamps(13198)   (Show Source):
You can put this solution on YOUR website!
The sequence of questions is strange, so I will ignore them....
Assuming the sections of roof are all congruent, each one is an isosceles trapezoid. That means
(1) the non-parallel sides of all the trapezoids are the same length, which is 6 feet;
(2) the base angles are all the same -- 65 degrees;
(3) the other angles are all 180-65=115 degrees.
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