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

7

step-by-step explanation:

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .