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Sati [7]
3 years ago
13

Given: Lines y and z are parallel, and ABC forms a triangle.

Mathematics
1 answer:
Vesna [10]3 years ago
6 0
<h2>Explanation:</h2><h2 />

This problem has missing information, so I've provided my own diagram below.

By Alternate Interior Angles:

m\angle 2=34^{\circ}

Angles ∠6 and 48 degrees are supplementary:

m\angle 6 + 48^{\circ}=180^{\circ} \\ \\ m\angle 6 =180^{\circ}- 48^{\circ} \\ \\  m\angle 6 =132^{\circ}

Internal angles of every triangle add up to 180 degrees:

m\angle 5+ m\angle 2 + m\angle 6 = 180^{\circ} \\ \\ m\angle 5+ 34^{\circ} + 48^{\circ} = 180^{\circ} \\ \\ m\angle 5= 180^{\circ}-34^{\circ}- 48^{\circ}  \\ \\ m\angle 5=98^{\circ}

Finally:

m\angle 2=34^{\circ} \\ \\ m\angle 5=98^{\circ} \\ \\ m\angle 6=132^{\circ}

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