given ( m parallel n ), find the value of ( x ) and ( y ).
given ( m parallel n ), find the value of ( x ) and ( y ).
Answer
Answer:
$x = 137$, $y = 43$
Explanation:
Step1: Find the value of (x)
Since (m\parallel n), (x) and (137^{\circ}) are corresponding angles. By the Corresponding Angles Postulate, (x = 137).
Step2: Find the value of (y)
(x) and (y) are supplementary angles (they form a linear - pair). Using the formula (x + y=180^{\circ}), substitute (x = 137) into it: (137 + y=180). Solve for (y): (y=180 - 137=43).