Find the missing angles

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

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