Question

find the value of x, y and z from the given parallelogram ​

Answer 1

Answer:

• x=65º
• y=115º
• z=115º

Step-by-step explanation:

Given, a parallelogram with AB // CD and DA // CB.

We need to find the values of x,y and z.

Given that,

EF//AB//CD

Angle C=Angle A. (opposite angles of a parallelogram are equal)

Therefore Angle A =65º

Angle A + Angle Z =180º. (Since EF//AG)

Therefore , z=115º

AngleC+AngleB=180º(since DC//AB)

65º+y=180º

Therefore, y=115º

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Answer 2

Answer:

x=65

y=115

z=115

Step-by-step explanation:

y=180-65(sum of adjacent angles of parallelogram

=180)

=115

angleDAB =65(opposite angles are equal)

x=65(opposite angles are equal)

z=180-65

=115