What are the measures of angles 1,2 and 3

Question

asked Feb 5, 2023 193k views

1 Answer

Kyle Weller · Answer 1 · 2023-02-09T21:10:06+0000

Answer:

$\begin{gathered} m\angle1=59^o \\ m\angle2=61^o \\ m\angle3=119^o \end{gathered}$

Step-by-step explanation:

Angles 2 and 61 are alternate interior; therefore, their measures are equal.

$m\angle=61^o$

The angles 1 2 and 60 are supplementary (meaning they must add up to 180); therefore,

$m\angle1+m\angle2+60^o=180^o$
$m\angle1+61^o+60^o=180^o$
$m\angle1=121^o=180^o$

subtracting 1