Chase chase chase!

Geometry Level 3

Can you find the measure of $\angle E$ below?

Note that segments $\overline{CB}$ and $\overline{BD}$ are congruent.

The answer is 55.

1 solution

Ankit Agarwal
May 22, 2018

Construct segment $\overline{DA'}$ with $A'$ on $\overline{BE}$ such that $\Delta ABC \cong \Delta A'BD$ . Then $\overline{A'E} \cong \overline{A'D} = 6$ and $\Delta A'DE$ is isosceles. We know that angle $DA'B$ is 110 degrees, so therefore, angle $E$ is 55.

Chase chase chase!

The answer is 55.

1 solution

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