Find the value of the pronumeral in each pair of congruent triangle show calculations and round your answers to I decimal point-
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To determine the value of the pronumeral in congruent triangles, you'll typically utilize properties related to corresponding angles and sides being equal. For example, if you have triangles ABC and DEF that are congruent, then you can set corresponding angles equal to one another (∠A = ∠D, ∠B = ∠E, ∠C = ∠F) and sides equal to corresponding sides (AB = DE, BC = EF, AC = DF). Let's say you find that in triangle ABC, angle A = 40° and you need to find angle B. Since the sum of angles in a triangle is 180°, you can solve for angle B using the equation 180° - angle A - angle C, where angle C is known. Substitute in your values, and round your final answer to one decimal point as needed! For the sides, if you know the length of one side in triangle ABC and you need to find the corresponding side in triangle DEF, you can write an equation such as DE = k * AB, where k is a proportion derived from the scale of the triangles—as they are congruent, k should be equal to 1. Calculating and rounding your answers appropriately will give you the pronumeral value you seek!
