The measures of the angles of a triangle are in the extended ratio 7:16:22. How do you find the measures of the angles of the triangle?

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Answer 1 · 2018-04-20T16:45:02

#28^@, 64^@, 88^@#

Given: ratio of triangle angles #7:16:22#

We know the angles of a triangle sum to #180^@#.

Let #x = # the angle. The angles are : #7x: 16x : 22x#

#7x + 16x + 22x = 180#

#45x = 180#

#x = 4#

Angle measures are: #4*7 = 28^@; 4*16 = 64^@, 4*22 = 88^@#