5
Determine the value of x in the figure shown.
A) 14°
B) 53°
C) 29°
D) 24°

angle 127° = angle 1 (vertically opposite angles)

now we have all the angles for the triangle

angle x + angle 29° + 127° = 180° ( sum property of triangle)

angle x + 156° = 180°

Angle x = 180° - 156°

Therefore, angle x = 24°

b) k’(6, 4); l’(3, 3)

step-by-step explanation:

a 270° clockwise rotation maps every point (x, y) to (y, -x). (it negates the x-coordinate and then switches it and the y-coordinate.)

this means the endpoints of the side congruent to kl, k' and l', would be mapped as:

k'(-4, 6)→(6, 4)

l'(-3, 3)→(3, 3)