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earnstyle [38]
2 years ago
7

What is m help ASAP pleasee!!

Mathematics
1 answer:
Nadusha1986 [10]2 years ago
5 0
<h3>Angles. Triangle angles.</h3>

The sum of angles of a triangle equals 180°.

Therefore:

|∠EAB| + |∠ABE| + |∠BEA| = 180°

Susbtitute

|∠EAB| = 14°

|∠ABE| = 45°

|∠BEA| = x°

14° + 45° + x° = 180°

59° + x° = 180°    |<em>subtract 59° from both sides</em>

<h3>x° = 121°</h3>

∠BEA and ∠CED are vertical angles. Vertical angles are congruent, meaning that they have the same angle measure.

Therefore

<h3>|∠CED| = 121°</h3>

In ΔCDE:

|∠CED| + |∠DCE| + |∠EDC| = 180°

Substitute:

|∠CED| =121°

|∠DCE| = 27°

|∠EDC| = y°

121° + 27° + y° = 180°

148° + y° = 180°    |<em>subtract 148° from both sides</em>

<h3>y° = 32°</h3>

<h2>|∠EDC| = 32°</h2>
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