Question

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Answer 1

Answer:

y=50°

x=10°

z=120°

Explanation:

y=50° because DC parallel to AB and AC is transverse also alternative interior angle equal

DCB=CBF alternative interior angle

DCB=60

y+x=60

50+x=60

x=60-50

x=10°

60+ABC=180 straight line angle

ABC=180-60

ABC=120

ABC=ADC Opposite angle of parallelogram

z=120

Answer 2

Explanation:

Value of x=90-50=40°(we know that in parallelogram angle measure 90°

On side b interior angle measure 60°.so, exterior angle of side b = 180°- 60°=120°(a line measure 180°)

As we know that a triangle measure 180°

Hence, 40°+120°+y =180°

=y=180°-160°=20°

Now, we have to find the value of angle z

As we know that a parallelogram mesure 360°

So,90°+120°+20°+z =360°

=> z=360°-230°

=> z =130°

Hope this is helpful for you

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