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nevsk [136]
3 years ago
12

Triangle ABC is similar to triangle QRS by the AA Similarity Postulate. Also, m∠A = 32° and m∠S = 102°. What is m∠B?

Mathematics
1 answer:
nignag [31]3 years ago
5 0
The sum of interior angles of any polygon is:

s=180(n-2)

Since we are dealing with a triangle:

s=180(3-2)

s=180°

That is, the sum of angles of any triangle is 180°.

In this case we are given two angles with measures of 32° and 102° so

a+b+c=180

32+b+102=180 combine like terms on left

b+134=180  subtract 134 from both sides

b=46°
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F_{n} =\sqrt{(30.2)^{2}+( 146.59) ^{2} +(90.5) ^{2}   }

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