Final answer:
To find the measures of angles B and Q in congruent triangles, given different given values and expressions.
Step-by-step explanation:
Congruent triangles are triangles that are identical in shape and size. When two triangles are congruent, it means that their corresponding sides and angles are equal. The concept of congruence is fundamental in geometry, and it provides a basis for proving the equality of other geometric figures.
Given that ΔABC ≅ ΔPQR, and ∠B = 34° while ∠Q = 8v - 6.
To find the measure of ∠B, we use the given value of 34°.
To find the measure of ∠Q, we substitute the given expression 8v - 6 into the equation and solve for v.