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Consider the diagram. Solve for m.
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Consider the diagram. Solve for m.

Consider the diagram. Solve for m.-example-1
User Antonio Moreno
by
4.2k points

1 Answer

2 votes

Answer:

m = 39°

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°

User Pavel Bely
by
4.5k points
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