Question

In the figure below, and ABD=85, and angle 1 is 5 degrees more than angle 2, find angle 2

Answer 1

∠ 2 = 40°

Explanation:

given ∠ 1 is 5 more than ∠ 2 , then

∠ 1 = ∠ 2 + 5

from the diagram

∠ 1 + ∠ 2 = ∠ABD , substitute ∠ 1 = ∠ 2 + 5 into the equation

∠ 2 + 5 + ∠ 2 = 85°

2 ∠ 2 + 5 = 85° ( subtract 5 from both sides )

2 ∠ 2 = 80° ( divide both sides by 2 )

∠ 2 = 40°