Question #827f6

1 Answer
Jun 12, 2016

Answer:

Largest angle: #100^@#

Explanation:

If the measure of the smallest angle is #a#
then the other two angles (given the #1:3:5# ratio)
would be #3a# and #5a#

We know that the sum of the angles of a triangle is #180^@#
So
#color(white)("XXX")a+3a+5a=180^@#
#rArr#
#color(white)("XXX")9a=180^@#

#color(white)("XXX")a=20^@#

Since the largest angle is #5a#
the largest angle is #5xx20^@=100^@#