Ask Question

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

+2
Answers (1)
  1. 8 June, 19:29
    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°
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “Triangle ABC is similar to triangle QRS by the AA Similarity Postulate. Also, m∠A = 32° and m∠S = 102°. What is m∠B? ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers