Find the value of x
a. 40
b. 50
c. 80
d. 60

Part 1: Find the measure of the angle adjacent to x

The four lines create a quadrilateral and the sum of all four angle measures is equal to 360°. So, to find the measure of angle x, we first have to find the measure of the fourth interior angle. For now, I will label that angle as y.

110 + 40 + 80 + y = 360

230 + y = 360

230 + y - 230 = 360 - 230

y = 130°

Part 2: Find the measure of angle x

Angles x and y are supplementary angles, which means that the sum of their measures is equal to 180°.

y + x = 180

130 + x = 180

130 + x - 130 = 180 - 130

x = 50°

So, your final answer is...

B) x = 50°

Hope this helps!

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

positive

step-by-step explanation:

the quadrant is facing upwards