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Dima020 [189]
3 years ago
11

Triangle ABC has angle measures as shown.

Mathematics
2 answers:
nydimaria [60]3 years ago
7 0

Answer:

Step-by-step explanation:

(2x - 10)° + (5x + 52)° + (3x + 28)° = 180°

10x + 70 = 180

<em>x = 11</em>

<em>m∠C</em> = [ 2(11) - 10 ]° = <em>12°</em>  

BartSMP [9]3 years ago
5 0

Answer:

   12°

Step-by-step explanation:

Sum of interior angles of the triangle is 180°:

   m∠A + m∠B + m∠C = 180°

   3x + 28° + 5x + 52° + 2x - 10° = 180°

   10x + 70° = 180°

   10x = 110°

   x = 11°

Find the measure of angle C:

   m∠C = 2x - 10° = 2(11°) - 10° = 22° - 10° = 12°

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Let's use synthetic division to solve this..

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