Question

In the given figure AC || EF. Find the value of x,y and z.​

Answer 1

Answer:

x = 100 degree

y = 60 degree

angle z = 40 degree

Step-by-step explanation:

-angle x = 100 degree because sum of interior angles on the same side is 180 degree

-angle d = 30 degree

angle a = 90 degree

so angle y = 180 - (30 = 90) = 60 degree ( according to angle sum property)

-now, we know that angle y is 60 degree and  and the other angle is 80 degree.

So, angle z + angle y + 80 degree = 180 degree ( according to angle sum property)

angle z + 60 degree + 80 degree = 180 degree

angle z = 180 degree- 80 degree - 60 degree

angle z = 40 degree

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