Answer:
∠ 5 = 151°
Explanation:
A linear pair are supplementary, that is sum to 180°
∠ 5 = 5 ∠ 6 + 6 , thus
∠ 5 + ∠ 6 = 180, that is
5 ∠ 6 + 6 + ∠ 6 = 180
6∠ 6 + 6 = 180 ( subtract 6 from both sides )
6 ∠ 6 = 174 ( divide both sides by 6 )
∠ 6 = 29°
Thus
∠ 5 = 180° - 29° = 151°