given m || n, find the value of x and y. (3x - 20)° (y - 6)° (2x + 3)°
given m || n, find the value of x and y. (3x - 20)° (y - 6)° (2x + 3)°
Answer
Explanation:
Step1: Use corresponding - angles property
Since (m\parallel n), the corresponding angles are equal. So, (3x - 20=2x + 3). [3x-2x=3 + 20] [x = 23]
Step2: Use linear - pair property
The angles ((3x - 20)^{\circ}) and ((y - 6)^{\circ}) form a linear - pair, so ((3x-20)+(y - 6)=180). Substitute (x = 23) into the equation: First, find the value of (3x-20) when (x = 23). (3\times23-20=69 - 20=49). Then, (49+(y - 6)=180). [y-6=180 - 49] [y-6=131] [y=137]
Answer:
(x = 23), (y = 137)