The measures of the angles of PQR are in the ratio 2:5:5. What are the measures of the angles?

5-3 angles number 4

1 Answer
Scott F.
Apr 18, 2018

#30^circ#, #75^circ#, and #75^circ#

Explanation:

If the three angles are in the ratio #2:5:5# then their measures are #2x#, #5x#, and #5x#. The sum of the angles of a triangle is #180^circ#, so #2x+5x+5x=180^circ#.

#2x+5x+5x=180^circ#
#12x=180^circ#
#x=15^circ#

So the angles are #2(15^circ)#, #5(15^circ)#, and #5(15^circ)#, which simplify to #30^circ#, #75^circ#, and #75^circ#.

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