Question

Solve for xx. Round your answer to the nearest tenth if necessary. Figures are not necessarily drawn to scale.

first Tri has 19 and 16 but no 3rd number
second tri has 54 and x no 3rd number

and inside both tri's there is marked 55* 50* and 75* in the corners

Answer 1

The two triangles are similar (their angles 55°, 50°, 75° match), so corresponding sides are proportional. If the side 16 in the first triangle corresponds to x in the second while the side 19 corresponds to 54, then

x / 16 = 54 / 19
x = 16 · 54 / 19 = 45.4737...

Rounded to the nearest tenth: x = 45.5.