find the measure of x y z in the figure where is 11 BC
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Step-by-step explanation:
x = 180-75-45 = 180-120 = 60°
y = 75°
z = 45°
Answered by
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Answer:
x = 60
y = 75
z = 45
Step-by-step explanation:
By rule of straight lines, we get
75 + 45 + x = 180
Simplifying we get
120 + x = 180
We subtract both sides by 120 to get
x = 60
Also, (if you know trigonometry you will understand this) z must equal 45 as seen in the angle. So, we get
60 + 45 + y = 180
We simplify to get
105 + y = 180
We subtract both sides by 105 to get
y = 75
We see that y and z equal 75 and 45 respectively which is the same as the angles adjacent to x. This is no coincidence, this is a rule in trigonometry.
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