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diamong [38]
2 years ago
11

Can someone help me on this question? Thank you

Mathematics
1 answer:
lina2011 [118]2 years ago
8 0

Answer:

  BAE

Step-by-step explanation:

A quarter circle (angle BAD) will have a measure of 360°/4 = 90°. An angle of 105° will be larger than 1/4 circle. The only angle on the diagram larger than BAD is BAE.

The measure of angle BAE is 105°.

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The required proof is given in the table below:

\begin{tabular}{|p{4cm}|p{6cm}|} &#10; Statement & Reason \\ [1ex] &#10;1. $\overline{BD}$ bisects $\angle ABC$ & 1. Given \\&#10;2. \angle DBC\cong\angle ABD & 2. De(finition of angle bisector \\ &#10;3. $\overline{AE}$||$\overline{BD}$ & 3. Given \\ &#10;4. \angle AEB\cong\angle DBC & 4. Corresponding angles \\&#10;5. \angle AEB\cong\angle ABD & 5. Transitive property of equality \\ &#10;6. \angle ABD\cong\angle BAE & 6. Alternate angles&#10;\end{tabular}
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