Answered

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triangle ABC has angle measures as shown.
A) what is the value of x? show your work.
B) what is the measure of angle C? show your work.

Triangle ABC Has Angle Measures As Shown A What Is The Value Of X Show Your Work B What Is The Measure Of Angle C Show Your Work class=

Sagot :

Marleydoesntcareidn

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°

Xenia168idn

Answer:

Step-by-step explanation:

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

10x + 70 = 180

x = 11

m∠C = [ 2(11) - 10 ]° = 12°  

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