3 years ago

Find the measure of the 3rd angle of a triangle given that the first 2 angles are 44 and 72 degrees

1 answer:

5 0

3rd angle of a triangle = 180 -(44 + 72) = 180 - 116 = 64

answer
3rd angle of a triangle = 64 degrees

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Step-by-step explanation:

$\triangle ZYW\sim\triangle WYX\ (AAA)\\\\\text{Therefore corresponding sides are in proportion}\\\\\dfrac{YX}{YW}=\dfrac{YW}{ZY}\\\\\text{substitute}\\\\YX=a;\ YW=4;\ ZY=3\\\\\dfrac{a}{4}=\dfrac{4}{3}\qquad\text{multiply both sides by 4}\\\\4\cdot\dfrac{a}{4}=4\cdot\dfrac{4}{3}\qquad\text{cancel 4}\\\\a=\dfrac{16}{3}$