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
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.

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