Answer + ! the diagram below shows the dimensions of a triangular park built in a new housing development. two side lengths and one angle measure are given. [not drawn to scale] what is the measure of angle x? round the answer to the nearest tenth. a. 0.6° b. 0.8° c. 32.4° d. 50.5°

D. 50.5°

Step-by-step explanation:

Since we are given two sides and one angle we can use the law of sine to solve for the angle of x.

sin 40°/50 = sin x°/60

0.6427876097 /50 = sin x°/60

cross multiply

0.6427876097 × 60 = 50 sin x°

38.567256581  = 50 sin x°

divide both side by 50

sin x° =  38.567256581 /50

sin x° =  0.7713451316

x° = sin-1  0.7713451316

x° =  50.474834629

both equations and proportions are better.

boxplot e is the answer