Since we know that angle 2 = 68 degrees and angle 1 is supplementary,
180 = 68 + <1
Subtract 68 from both sides.
112 = <1
4 is opposite of a 90 degree angle, therefore, it is also 90 degrees.
Angle 3 is supplementary to angle 4
180 = 90 + <3
Subtract 90 from both sides.
90 = <3
Since we know two Interior angles, we can find the third.
180 = 90 + 68 + <5
Combine like terms
180 = 158 + <5
Subtract 158 from both sides.
22 = <5
<5 and <6 are supplementary.
180 = 22 + <6
Subtract 22 from both sides.
158 = <6
In conclusion,
<1 = 112
<2 = 68
<3 = 90
<4 = 90
<5 = 22
<6 = 158