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Problem 60

Expert verified

Given that \(∠ABC \cong ∠DBE\), we can apply the Angle Sum Property of Triangles to triangles ABE and DBE. After equating the sum of the interior angles of both triangles and simplifying the equation by using the given congruent angles, we can conclude that \(∠ABD \cong ∠CBE\).

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Chapter 5

In the accompanying figure, point \(B\) is between points \(A\) and \(\mathrm{C}\), and point \(\mathrm{E}\) is between points \(\mathrm{D}\) and \(\mathrm{F}\). Given that \(\underline{A B} \cong D E\) and \(\underline{B C} \cong \underline{E F}\). Prove that \(\underline{A C} \cong D F\).

Chapter 5

Prove that if an angle is congruent to one of two complementary angles, then it is complementary to the other angle.

Chapter 5

State the RST properties for congruence of angles.

Chapter 5

Given isosceles triangle \(\mathrm{ABC}\) with sides $\underline{\mathrm{AB}} \cong \underline{\mathrm{AC}}\( and the fact that \)\underline{D B} \cong \underline{E C}\(, prove that \)\underline{A D} \cong \underline{A E}$.

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