Given that AXB is complementary to both CYD and FZE and m AXB=20 degrees what is m CYD+m FZE?
2 answers:
We know that AXB + CYD and AXB + FZE = 90
20 + CYD = 90 and 20 + FZE = 90
We can see that CYD and FZE are equal so we can use one equation
Let's use 20 + CYD = 90
CYD = 70 and FZE is also equal to 70 because CYD and FZE are equal.
so 70 + 70 = 140 degree
It is given that, AXB + CYD = 90
So, CYD = 90 - AXB
CYD = 90 - 20 = 70
Agaian, AXB + FZE = 90
FZE = 90 - AXB
FZE = 90 - 20 = 70
So, CYD + FZE = 70 + 70 = 140
In short, Your Answer would be: 140 degrees
Hope this helps!
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