Question

Given that AXB is complementary to both CYD and FZE and m AXB=20 degrees what is m CYD+m FZE?

Answer 1

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!

Answer 2

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