Find $x,\ y$ and $z$."

Given: A parallelogram $ABCD$.

To do: To find $x,\ y$ and $z$.

Solution:

$AB||CD$, 

$\angle ABC=\angle DCG$      [Corresponding angles]

$\Rightarrow z=75^o$

$\angle CBF=\angle XCG$    [Alternative angles]

$\Rightarrow y=z=75^o$

$\angle ADH=\angle DCG$   [Corresponding angles]

$x=z=75^o$

Thus, $x=y=z=75^o$.

Tutorialspoint

Updated on: 10-Oct-2022

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