Question

Lines a and b are parallel and t is the transversal. If m<1 = 80 degrees. What isthe sum of <6 and <7? JUST TYPE THE NUMBER]

Answer 1

Since the lines a and b are parallel, the corresponding angles <1 and <5 are congruent, therefore angle <5 measures 80°.

Angles <6 and <7 are supplementary angles to angle <5, so we have:

`\begin{gathered} <5+<6=180\\ \\ 80+<6=180\\ \\ <6=100°\\ \\ <7=<6=100° \end{gathered}`

So the sum of <6 and <7 is:

`<6+<7=100+100=200°`

Therefore the answer is 200.