given (mparallel n), find the value of (x) and (y).
given (mparallel n), find the value of (x) and (y).
Answer
Explanation:
Step1: Use corresponding - angles property
Since (m\parallel n), the corresponding angles are equal. So, (7x = 2x + 18). [7x-2x=2x + 18-2x] [5x=18] [x=\frac{18}{5}=3.6]
Step2: Find the value of (y)
The angle ((7x)^{\circ}) and (y^{\circ}) are supplementary (linear - pair of angles). So, (7x + y=180). Substitute (x = 3.6) into the equation: (7\times3.6+y = 180). [25.2+y=180] [y=180 - 25.2=154.8]
Answer:
(x = 3.6), (y = 154.8)