A geodesic dome is composed of two different types of triangular panels. One of these is an isosceles triangle. In one geodesic dome, the measure of the third angle is 79.5° more than the measure of either of the two equal angles. Find the measure of the three angles

A geodesic dome is composed of two different types of triangular panels. One of these is an isosceles triangle. In one geodesic dome, the measure of hte third angle is 58.5 degrees more than the measure of either of the two angles. Find the measure of the three angles.

Step-by-step explanation:

d = 36 mi the distance traveled in one direction

t1 = 1.5 hr the time of the trip upstream

t2 = 1 hr the time of the trip downstream

s = the speed of the stream

v = the speed of the boat in still water

the speed of the boat upstream is: v - s

the speed of the boat downstream is: v + s

traveling upstream

(v - s)*t1 = d

(v - s)*1.5 = 36

traveling downstream

(v + s)*t2 = d

(v + s)*1 = 36

by solving the system of equations

(v - s)*1.5 = 36

v + s = 36

we find

s = 6 mph

v = 30 mph