ABCE~AJKL. If m angle B = 89 deg m angle C = 13 deg and ∠E = 78 deg what is m∠J? (1 point)

Answer 1

To find m∠J, we need to analyze the information given in the problem.

We know that ABCE~AJKL, which means that the ratios of corresponding angles are equal.

Given:
m∠B = 89°
m∠C = 13°
∠E = 78°

Since the corresponding angles of similar figures are equal, we can determine the value of ∠J using the ratio of the angles.

The corresponding angle to ∠B in AJKL is ∠J.

Ratio of ∠J to ∠B is the same as the ratio of the sides containing the angles.

In ABCE, we have the pair of corresponding sides AB and AJ and the pair of corresponding sides BC and KL.

According to the ratio, we have:
AJ/AB = KL/BC

Let's substitute the given values:
AJ/AB = KL/BC
AJ/AB = AJ/BC

Then we can cross-multiply to solve for AJ:
AJ * BC = AJ * AB

Since we know that the angles B and C are congruent but the angles E and J are not congruent because the ratio is not 1:1, we can assume that BC > AB, AJ < BC. Therefore, AJ ≠ AB.

This means that AJ ≠ BC, AJ cannot be equal to BC.

Since the corresponding angles and ratios cannot be determined, we cannot find the actual measure of ∠J using the given information.