Question

In triangle AHIJ, h = 590 inches, j = 590 inches, and ∠2J = 75°. Find all possible values of ∠ZH, to the nearest degree.

Answer 1

To find all possible values of ∠ZH in triangle AHIJ, subtract 75 degrees from 180 degrees and divide the result by 2.

Step-by-step explanation:

To find all possible values of ∠ZH in triangle AHIJ, we can use the fact that the sum of angles in a triangle is 180 degrees and the property of corresponding angles in congruent triangles. Given that ∠2J = 75°, we can determine the measure of ∠ZH by subtracting 75 degrees from 180 degrees and dividing the result by 2. This is because ∠ZH and ∠2J are corresponding angles in congruent triangles. Therefore, ∠ZH = (180 - 75) / 2 = 52.5°.