In a triangle, the measure of the first angle is three times that of the second angle. The measure of the third angle is 30 less than the measure of the second angle. What is the measure of each angle?

Question

12656 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-10-07T07:35:38

#126^@,42^@,12^@#

Let the first angle be #3x#,
#=># the second angle #=x#,
#=># the third angle = #x-30#.

Recall that in a triangle, the three interior angles always add up to #180^@#,

Hence, #3x+x+(x-30)=180#
#=> 5x=210#
#=> x=210/5=42#

#=> 3x=3*42=126# (first angle)
#=> x=42# (second angle)
#=> x-30=42-30=12# (third angle)