Answer/Step-by-step explanation:
6. ✔️m<1 = 180 - (72 + 57) (sum of ∆)
m<1 = 56°
✔️m<2 = 90 - 72 (complementary angles)
m<2 = 18°
✔️m<3 = 180 - 57 (linear pair)
m<3 = 123°
✔️m<4 = 180 - (m<2 + m<3) (sum of ∆)
m<4 = 180 - (18 + 123) (substitution)
m<4 = 39°
8.(13x + 2) + (3x - 4) + (5x - 7) = 180 (sum of ∆)
13x + 2 + 3x - 4 + 5x - 7 = 180
Add like terms
21x - 9 = 180
21x = 180 + 9 (addition property of equality)
21x = 189
Divide both sides by 21
x = 9
