With the use the exterior angle theorem to find the measure of each angle. 83

D = 78

C = 35

DEC = 67

Step-by-step explanation:

Using the theorem, angle D and + angle C = 113 degrees.

Then you can set up the equation 10x + 13 = 113. Then you can find x - it's 10.

Then you plug it back in, and angle D = 78 and angle C = 35

Step-by-step explanation:

solve E 1st as its the easiest -

<E + 113deg = 180deg

<E = 180 - 113 = 67deg

by exterior angle theorem, <C + <D = 113deg

so 3y+5 + 7y+8 = 113

10y=100

y=10

<C = 3(10)+5 = 35deg

<D = 7(10)+8 = 78deg

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 .