kyleemarie2003
kyleemarie2003 kyleemarie2003
  • 05-05-2018
  • Mathematics
contestada

Triangle ABC is represented by the drawing below.

What are the measures of the interior angles of (triangle)ABC?

Choices shown in photo. please help!

Triangle ABC is represented by the drawing below What are the measures of the interior angles of triangleABCChoices shown in photo please help class=

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torresalysabeth
torresalysabeth torresalysabeth
  • 05-05-2018
Your Answer Will Be C) A=70 B=70 C=40
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FelisFelis FelisFelis
  • 30-08-2018

m∠A=(2x-30)°

m∠B=(x+20)°

m∠C=(x-10)°

Sum of angles of triangle is 180°

So, m∠A+m∠B+m∠C=180°

So, (2x-30)°+(x+20)°+(x-10)°=180°

4x°-40°+20°=180°

4x°-20°=180°

Adding 20° on both sides

So, 4x°-20°+20°=180°+20°

4x°+0°=200°

4x°=200°

To find the value of x,

So, x=200/4

x=50

So, m∠A=(2*50-30)°=100°-30°=70°

m∠B=(x+20)°=50°+20°=70°

m∠C=(x-10)°=50°-10°=40°

Answer:Option C

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