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  • 11-09-2020
  • Mathematics
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A little help here thank you!!!

A little help here thank you class=

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marcthemathtutor
marcthemathtutor marcthemathtutor
  • 11-09-2020

Answer:

∠B = 82°

Step-by-step explanation:

(see attached for reference)

recall the property that an exterior angle of a triangle is equal to the sum of its two remote interior angles.

in our case, the exterior angle is obtuse ∠A = 143°

the two remote interior angles are ∠C and ∠B

hence according to our definition above:

143° = ∠C + ∠B  (we are given that ∠C =61°)

hence

143° = 61° + ∠B

143° - 61° =  ∠B

∠B = 82°

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