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mestny [16]
3 years ago
10

Za and Zb are complementary angles. Za measures 64º. What is the measure of Zb? O

Mathematics
1 answer:
vova2212 [387]3 years ago
5 0

Answer: The measure of <b is 26 degrees.

Step-by-step explanation:  

Complementary angles are angles that add up to 90 degrees. I remember this because my teacher told me this: "Complements are always RIGHT!" Of course, this is a reference to complementary angles combining to make right angles, which are 90 degrees.

To go back on your question, if  <a and <b are truly complementary, then m<a +m<b = 90 degrees. Substitute the measure of <a for 64 degrees, then you get 64 degrees + m<b = 90 degrees. Simplify. Then you'd get that the measure of <b is 26 degrees.

(P.S. Sorry if I cluttered up the ask portion of your post. I haven't used this platform in like 2 years, so everything seems so foreign to me.)

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