The Triangle MNP in which m∠M = 15 and m∠N = 135 is similar to triangle ABC.
What is the angle sum property?
The angle sum property of a triangle states that the sum of the interior angles of a triangle is 180 degrees.
Triangle ABC has the following angle measures:
m∠A = 15° and m∠B = 120°.
We know that the addition of the angles of a triangle makes 180°, therefore:
m∠A + m∠B + m∠C = 180°
Replacing with data and solving for x:
15 + 120 + x = 180
x = 180 - 135
x = 45°
The Triangle MNP in which m∠M = 15 and m∠N = 135 is similar to triangle ABC.
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