Answer:
1. m∠R = 10
2. m∠P = 160
Explanation:
The lines at the opposite are congruent so the angles have to be the same.
6x - 12 = 3x -1
subtract 3x from both sides
3x - 12 = -1
add 12 to both sides
3x = 11
divide by 3
x = 11/3
Now replace x in both the equations with 11/3:
3x - 1 = 3(11/3) - 1 = 11 - 1 = 10
6x - 12 = 6(11/3) - 12 = 66/3 - 12 = 22 - 12 = 10
So m∠R is 10
Now to find m∠P,
A triangle is 180 degrees so with angle P represented with x:
10 + 10 + x = 180
20 + x = 180
x = 160
m∠P = 160