Problema Solution

La medida de uno de los ángulos de un par de ángulos suplementarios es el doble de la medida del otro menos 3 π/20. ¿Cuánto mide cada ángulo

Answer provided by our tutors

Let 'x' represent the measure of one angle, then '2x - 3 π/20' represents the measure of the second angle


since the angles are supplementary:

x + 2x - 3 π/20 = 180


solving for 'x' we have:

x = (π+1200)/20


one angle measures (π+1200)/20 degrees

the other angle measures (-π+2400)/20


expressed as decimals, we have approximately:

60.16 and 119.84 degrees