find the measure of the three angles

Question

a geodesic dome is composed of two different ypes of triangular panels. one of these is an isosceles triangle. in one geodesic dome, the meausre of the third angle is 61.5 more than the measure of either of the two equal angles. find the measure of the three angles?

Answer 1

The degree measures of the angles of a triangle always add up to 180°.

 

Let x = degree measure of one of the equal angles

 

Then x + x + (x+61.5°) = 180°

 

                         3x + 61.5° = 180°

 

                                     3x = 118.5°

 

                                       x = 39.5°

 

The measures of the angles are 39.5°, 39.5°, and 101°.