Answer:
x = 18, y = 45
Step-by-step explanation:
4x - 7 + a = 180 (linear pair)
But, a = 6x + 7 (alternate interior angles)
=> 4x - 7 + 6x + 7 = 180
=> 10x = 180
=> x = 18
Now, 3y - 20 = 6x + 7 (vertically opposite angles)
=> 3y - 20 = 6(18) + 7
=> 3y = 108 + 7 + 20
=> 3y = 135
=> y = 45
Hope it helps :)
Please mark my answer as the brainliest
Answer:
Step-by-step explanation:
One property of parallelogram is that opposite angles have the same measure, so we can write down:
Another property is that two adjacent angles are supplementary (meaning that they add up to 180 degrees). Thus, the following equations are true:
Solve the equations:
To check, add up all 4 angles and check if they sum up to 360 degrees:
And please ignore the fact that I cannot insert the degree sign :(
