Triangle abc is similar to triangle qrs by the aa similarity postulate. also, m∠a = 32° and m∠s = 102°. what is m∠b?

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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