## if c is the incenter of AMD, AMC=3x+6 AND dmc = 8X-49, FIND EACH MEASURE

Question

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## Answers ( No )

Answer:and .

Step-by-step explanation:As you can observe in the image attached, angles AMC and DMC are congruent, because if point C is the incenter of AMD, that means each line the forms such point is a bisector.

Remember that a bisector is a line that equally divides an angle.

So,

Solving for , we have

Then, we substitute this value in each expression to find the angles.

Therefore, the measures of those angles are and .

3x+6=8x-49,

-6. -6

__________

3x=8x-55

-8x. -8x

________

-5x=-55

x=11,

3(11)+6=39

8(11)-49=39