Q. Given ∠B≅∠D and ∠ACB≅∠ECD, find the length of segment AB to the nearest tenth.2.01.75.49.6
Given Angles: Given ∠B≅∠D and ∠ACB≅∠ECD, we can use the properties of similar triangles to find the length of AB.
Proportional Sides: Since the angles are congruent, the corresponding sides are proportional. Let's set up the proportion using the sides of the triangles.
Setting up Proportion: Let AB=x, then we can write the proportion as (AB/BC)=(DE/EC).
Insufficient Information: We don't have the lengths of BC, DE, or EC, so we can't solve the proportion. We need more information to find the length of AB.