Question

Solve this and give the distance formula

Answer 1

∠ GEF = 35°

Explanation:

∠ DEG and ∠ GEF are a linear pair and sum to 180° , that is

∠ DEG + ∠ GEF = 180°

145° + ∠ GEF = 180° ( subtract 145° from both sides )

∠ GEF = 35°

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given 2 points (x₁, y₁ ( and (x₂, y₂ )

then calculate the distance d between them using the distance formula

d =
`\sqrt{(x_(2)-x_(1))^2+(y_(2)-y_(1))^2 }`