Answer:
m<1 = 50°
m<2 = 130°
m<3 = 50°
m<4 = 130°
m<5 = 50°
m<6 = 130°
m<7 = 50°
m<8 = 130°
Step-by-step explanation:
Angle 4 & Angle 2 are congruent angles because they are diagonal from each other, this lets us set m<4 = m<2.
Then solve for x.
2x-10 = x+60
x-10 = 60
x = 70
Use x to find m<4 or m<2 (doesn't matter which b/c they are equal).
m<2 = (70)+60
m<2 = 130°
Angles 2, 4, 6 & 8 are congruent, so they will all have be 130°.
Angles 1 & 2 create a straight line (180°).
Find m<1 by subtracting 130° from 180°.
180-130 = 50
Angles 1, 3, 5 & 7 are also congruent, so they will all have be 50°.
