Question #60a20

1 Answer
Apr 17, 2017

Angle measures (in degrees): #40^@, 50^@,90^@#

Explanation:

If the angles of a triangle are in the ratio #4:5:9# then for some constant #k# the angles must be:
#color(white)("XXX")4k+5k+9k=180^@#

#color(white)("XXX")18k=180^@

#color(white)("XXX")k=10^@#

and the three angles must be
#color(white)("XXX")40^@, 50^@, and 90^@#