Question

for each of the following parallelogram find the unknown x,y,z whichever is evolved. also mention the property used
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Answer 1

Answer:

X = 60

Y = 60

Z = 30

Step-by-step explanation:

If we take triangle 1 we can say that x will be equal to 180-90+30

Thus we can x will be 60

Y is alternate to x and thus y will also be 60

z is alternate to the 30 degree angle so z will also be 30

Answer 2

90+30+x = 180° {triangle sum property]

120 + x = 180°

x = 180-120

x=60°

x = y [alternate interior angles are equal]

y = 60°

k = 90 [ vertically opposite angles are equal]

k + y +z = 180°

90° + 60° + z = 180°  {triangle sum property]

150° + z = 180°

z = 180 - 150

z = 30°

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