In the figure, m∠1=m∠2 = 22 and m∠3 = m∠4 = 123. Find m∠TSK.
Choices:
33
35
45
22

35 because the two angles are added 22 and 123 = 145. 145-180=35
Answer:
[tex]m<TSK=35\°[/tex]
Step-by-step explanation:
we know that
The sum of the internal angles of a triangle must be equal to [tex]180[/tex] degrees
so
In the triangle STK
[tex]m<1+m<3+m<TSK=180\°[/tex]
we have
[tex]m<1=22\°[/tex]
[tex]m<3=123\°[/tex]
substitute and solve for m<TSK
[tex]22\°+123\°+m<TSK=180\°[/tex]
[tex]m<TSK=180\°-(22\°+123\°)=35\°[/tex]