Answer:
9) x = 89°
10) x = 118°
11) x = 145°
12) x = 40°
Step-by-step explanation:
9) 180-91 = 89
10) x = 118° because it is alternate interior to 118
11) x-30 = 115, x = 145
12) 4x-15 = 145, 4x = 160, x = 40
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<h3>
Answer: 54 degrees (third choice)</h3>
Explanation:
AB is a diameter of circle C. This leads to angle ACB being 180 degrees. By Thales Theorem (a special case of the inscribed angle theorem) we know that angle D is 90 degrees.
Therefore, triangle ADB is a right triangle. The acute angles (A and B) add to 90, and we can say they are complementary angles.
A+B = 90
36+B = 90
B = 90-36
B = 54 degrees
Answer:
Correct choice is B
Step-by-step explanation:
In step 4 were proved that 
By definition, similar triangles have proportional lengths of corresponding sides. To the side AB corresponds side ED, to the side AC corresponds side DC and to the side BC corresponds side EC. Thus,
