Question
In the given figure $\angle\text{B}=65^\circ$ and $\angle\text{C}=45^\circ$ in $\triangle\text{ABC}$ and $\text{DAF}\ ||\ \text{BC}.$ If $\angle\text{DAB}=\text{x}^\circ$ and $\angle\text{EAC}=\text{y}^\circ,$ find the values of x and y.
✓
Answer
Given:$\angle\text{B}=65^\circ$
$\angle\text{C}=45^\circ$
$\text{DAE || BC}$
The given lines are parallel.
$\therefore\ \text{x}^\circ=\angle\text{B}=65^\circ$ (alternate angles when AB is taken as trasversal)
$\text{y}^\circ=\angle\text{C}=45^\circ$ (alternate angles when AC is taken as trasversal)
$\therefore\ \text{x}=65$
$\text{y}=45$
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