Solve for the missing angles in the diagram below

∠8 = 40°, ∠6 = 50°, ∠9= 140°

Step-by-step explanation:

∠8 = 40° (vertically opposite angles are congruent)

now, using angle sum property of triangles

∠6 + 90° + 40° =  180°

∠6 = 180° - 130°

∠6 = 50°

and, using exterior angle property,

50° + 90° = ∠9 = 140°

answer: the value of x is 7cm

step-by-step explanation: