Vertical angles are always congruent, which means that they are equal. Adjacent angles are angles that come out of the same vertex. Adjacent angles share a common ray and do not overlap. The size of the angle xzy in the picture above is the sum of the angles A and B.
Answer:
x = 10
Step-by-step explanation:
Use CPCTC (Corresponding parts of congruent triangles are congruent).
Set the ratios:

First, simplify. Combine like terms:

Next, cross multiply.

Isolate the variable, x. Divide 6.5 from both sides of the equation:

Check:

Plug in 10 for x (Your answer). Cross multiply, then simplify:



(True).
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Answer:
28 units sqr
Step-by-step explanation:
Area of Rectangle
A= Lw = 8(4) = 32
Area of Triangle
A=
=
= 4
32- 4 = 28 units sqr
B. √2/2
cos45=1/√2=1/√2*√2/√2= √2/2
Answer:
polygon B is just polygon B flipped to the side
Step-by-step explanation:
polygon B is just polygon B flipped to the side