Question

Triangle ΔGHI with m∠G = 5°, m∠H = 75° and m∠I = 100°, is reflected across the y-axis to obtain ΔKLM. What is the measure, in degrees, of ∠L?

Answer 1

`\angle L = 100^(\circ)`

Explanation:

Given

`\angle G = 5^(\circ)`

`\angle H = 75^(\circ)`

`\angle L = 100^(\circ)`

Required

Determine the measure of L after reflection across x-axis

When a shape is reflected across an axis, only the coordinates of the shapes is affected; the angles remain unaltered.

In other words, the measures of the angle will not change.

Hence:

`\angle L = 100^(\circ)`