natalyaal
Answered

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what is m
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What Is M Help ASAP Pleasee class=

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Angles. Triangle angles.

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°    |subtract 59° from both sides

x° = 121°

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

Therefore

|∠CED| = 121°

In ΔCDE:

|∠CED| + |∠DCE| + |∠EDC| = 180°

Substitute:

|∠CED| =121°

|∠DCE| = 27°

|∠EDC| = y°

121° + 27° + y° = 180°

148° + y° = 180°    |subtract 148° from both sides

y° = 32°

|∠EDC| = 32°

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