eternitymartinez
eternitymartinez eternitymartinez
  • 27-04-2022
  • Mathematics
contestada

Consider the diagram. Solve for m.

Consider the diagram Solve for m class=

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 28-04-2022

Answer:

  m = 39°

Step-by-step explanation:

The useful relations here are ...

  • the sum of angles in a triangle is 180°
  • inscribed angles subtending the same arc have the same measure.

__

Angle ACB subtends the same arc (AB) as angle ADB, so has the same measure, 36°. Then the sum of angles in triangle ACB is ...

  33° +36° +72° +m = 180°

  m = 180° -141° = 39°

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