Find the measure of the three angles.

Question

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 61.5° more than the measure of either of the two equal angles. Find the measure of the three angles

Answer 1

Let's consider

 

equal angles in isosceles triangle = x

 

third angle = x+61.5

 

Addition of internal angle of Triangle = 180

 

2 equal angle + third angle = 180

 

x + x +x+61.5 =180

 

3x +61.5 =180

 

 

3x = 118.5

 

x = 39.5

 

so measure of equal angles = 39.5

 

and third angle = x+ 61.5 = 39.5 +61.5 =101