Answer:
x = 140
Explanation:
in triangle SNU
angle U is 180-120 = 60
total angle of triangle is 180°
so, 180-80+60 = 40
angle S and angle P is equal because SN and PD are parallel.
so 180-40 = X
X = 140°
btw, i know i already answered this, but yee
The value of x is 140°
Solution given;
we have
∡NSU+∡SNU=∡NUP[since exterior angle is equal to the sum of interior angle of a triangle]
∡NSU+80°=120°
∡NSU=120°-80°
∡NSU=40°
again
∡NSU=∡DPA=40°[ being corresponding angle]
∡DPA+DPU=180°[ sum of angle of a straight line is 180°]
40°+x=180°
x=180°-40°
x=140°
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