Question

If m∠1+m∠5=100, find the measure of ∠2. A(1/3)2(4/7)=(8/7)8 m∠2=□=1/9 Type the correct answer, then press Enter.

Right triangles and trigonometry
ANSWERED
asked 2020-11-09
If \(\displaystyle{m}∠{1}+{m}∠{5}={100}\), find the measure of \(\displaystyle∠{2}\). \(\displaystyle{A}{\left(\frac{{1}}{{3}}\right)}{2}{\left(\frac{{4}}{{7}}\right)}={\left(\frac{{8}}{{7}}\right)}{8}\)
\(\displaystyle{m}∠{2}=□=\frac{{1}}{{9}}\) Type the correct answer, then press Enter.

Answers (1)

2020-11-10
We know the following
\(\displaystyle∠{1}=∠{5}\)
Therefore
\(\displaystyle{2}∠{1}={100}\)
\(\displaystyle∠{1}={1002}={50}\)
We also know that
\(\displaystyle∠{2}={180}−∠{1}\)
\(\displaystyle∠{2}={180}−{50}\)
\(\displaystyle∠{2}={130}\)
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