MathematicsFrom the figure, AB || CD, then x+y+z=

From the figure, AB || CD, then $x + y + z =$

A
$215 °$
B
$70 °$
C
$145 °$
D
$95 °$

Solution:

$x + z = 180 °$

$x + y = 90 °$

$y = 35 °$

$2 x + 70 = 180 °$

$2 x = 110 °$

$x = 55 °$

$z = 180 ° - 55 °$

$z = 125 °$

$\begin{array}{l} x + y + z = 125 + 55 + 35 \\ = 215 ° \end{array}$

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