In the given figure AC || EF. Find the value of x, y and z.
Answer
x=100 degree
y=60degree
z=40degree
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Step-by-step explanation:
In triangle ABD
Angle A= 90 degree ( given)
also angle D= 30 degree
so as you know sum of angles of a triangle is 180 degree
A+Y+D=180 degree
90+Y+30=180 degree
hence Y=60 degree
As EF is parallel to AC
angle X + angle E =180 degree( supplementary angles)
X + 80=180
X=100 degree
now sum of all angles is a straight line is equal to 180 degree
80 degree+Y+Z =180 degree
80+60+Z=180
Z+140=180
Z=40 degree
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