Question

From the adjoining parallelogram Find the values of x, y and z:-

Answer 1

Answer:

by using angle sum property

=x+50⁰+90⁰=180⁰

=x=180⁰-140⁰

=x=40⁰

it is a parallelogram, so apposite sides are equal

x=z=40⁰

Now, we will find the angle DCF

By using angle sum property

40⁰+90⁰+DCF=180⁰

DCF=180⁰-130⁰

DCF=50⁰

Sum of adjacent angles of a parallelogram is 180⁰

so

ABC+BCD=180⁰

40⁰(x)+BCD=180⁰

BCD=140⁰

Now BCE+Y+DCF=140⁰

50⁰+y+50⁰=140⁰

y= 140⁰-100⁰

y=40⁰

so

x=40⁰

z=40⁰

y=40⁰

Answer 2

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