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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?

Sagot :

Answer:

[tex]\angle L = 100^{\circ}[/tex]

Step-by-step explanation:

Given

[tex]\angle G = 5^{\circ}[/tex]

[tex]\angle H = 75^{\circ}[/tex]

[tex]\angle L = 100^{\circ}[/tex]

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:

[tex]\angle L = 100^{\circ}[/tex]