Question

complementary, the second angle will
17. Two angles P and Q form a linear pair. If ZP = 144º and ZQ = 5x + 16°, find the value
of r and hence the angle Q.
[Hots​

Answer 1

Answer:

Angle ZP + Angle ZQ = 180° (as linear pair)

144° + Angle ZQ = 180° (as angle ZP = 144°)

Angle ZQ = 180°–144°

Angle ZQ = 36° (answer) —(1)

Angle ZQ = 5x + 16°

36° = 5x + 16° [from (1)]

36°–16° = 5x

20° = 5x

20°/5 = x

4° = x

x = 4° (answer)