1.
a) Supplementary.
b) Supplementary.
c) Equal.
d) Equal.
e) Supplementary.
f) Supplementary.
2. a) 360°
b) opposite , 180° for a pair and 360° for 2 pairs.
c) straight line, 180°
3) angle 1 and angle 4 are pair of vertical angles summing upto 180°
4x + 5 + 3x + 11 = 180°
7x + 16 = 180°
x = 23.43°.
4) angle 3 and angle 4 are supplementary angles summing upto 180°
6x + 10 + 2x + 50 = 180°
8x + 60 = 180°
x = 15°
angle 3, 6x + 10
6(15) + 10 = 100°
m<3 = 100°
m<2 = m<3 - equal angles.
then, m<2 = 100°