Angles of Similar Triangles Practice

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Question
△BCE∼△JKL . If m∠B=89° , m∠C=13° , and m∠E=78° what is m∠J ?(1 point)
m∠J=
°

1 answer

To determine the measure of angle J, we need to use the fact that the angles of similar triangles are corresponding angles and therefore, they are congruent.

Given that △BCE ∼ △JKL, we can conclude that:

m∠B = m∠J (corresponding angles)
m∠C = m∠K (corresponding angles)
m∠E = m∠L (corresponding angles)

From the given information, we know that m∠B = 89°. Therefore, m∠J = 89°.
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