Copy the shape and fill in the missing angle. Sow the work. Thanks.

x=12

Step-by-step explanation:

Hello There!

So first things first, the angle labeled 4x+17 and the blank interior angle are vertical angles meaning that they are congruent

So now we can solve for x

Remember all of the angles in a triangle add up to equal 180 so

180 = x + 23 + 80 + 4x + 17

step 1 combine like terms

4x+x=5x

23+17+80=120

now we have

180=120+5x

step 2 subtract 120 from each side

180-120=60

now we have

60=5x

step 3 divide each side by 5

60/5=12

we're left with x=12

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl