Question

△BCE~△JK:. If m<B=89 degrees, m<C =13 degrees, and m<E= 78 degrees, what is m<J?
m<J___?

Answer 1

wrong

Answer 2

To find angle J, we need to use the fact that the corresponding angles of similar triangles are equal.

In triangle BCE, angle C is corresponding to angle J in triangle JK. Therefore, m<J = m<C = 13 degrees.

Answer 3

Apologies for the mistake.

To find angle J, we can use the fact that the sum of the interior angles of a triangle is 180 degrees.

In triangle BCE, we have angle B = 89 degrees, angle C = 13 degrees, and angle E = 78 degrees.

Angle BCE + Angle C + Angle E = 180 degrees

Let's substitute the given values:

Angle BCE + 13 degrees + 78 degrees = 180 degrees

Angle BCE + 91 degrees = 180 degrees

Subtract 91 degrees from both sides:

Angle BCE = 180 degrees - 91 degrees

Angle BCE = 89 degrees

Now, in triangle JK, we know that angle B is corresponding to angle J.

Therefore, angle J = angle BCE = 89 degrees.