suzette0333 suzette0333
  • 06-06-2020
  • Mathematics
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Triangle ABC is represented by the drawing below.


What are the measures of the interior angles of ABC?

Triangle ABC is represented by the drawing below What are the measures of the interior angles of ABC class=

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AyeAyeCaptaaain
AyeAyeCaptaaain AyeAyeCaptaaain
  • 06-06-2020

Step-by-step explanation:

Therefore,

(x+20) + (x-10) + (2x-30) = 180° (Sum of interior angles of a triangle)

Or, x+x+2x+20-10-30 = 180°

Or, 4x-20 = 180°

Or, 4x= 180+20

Or, 4x= 200°

Or, x= 200°/4

Therefore, x= 50°

So,

(x+20)

= 50+20

=70°

(x-10)

= 50-10

40°

(2x-30)

= 2×50-30

=100-30

=70°

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