Answer:
6) x = 70°
7) x = 75°
8) x = 30°
10) x = 112°
11) x = 58° , y = 58°
Step-by-step explanation:
6) two congruent sides means two congruent angles
x + x + 40 = 180 2x = 140
7) two congruent sides means two congruent angles
both base angles measure 75 degrees
8) isosceles triangle (has two equal sides) 75(2) + x = 180 150 + x = 180
10) two congruent angles means two congruent sides
44 + 2n = 180 2n = 136 n = 68
angles n and x form a linear pair and equal 180
180 - 68 = 112
11) isosceles triangle so ∡x = ∡y 64 + x + x = 180
64 + 2x = 180 2x = 116 x = 58
