The ratio of two supplementary angles is 2:7. What's the measure of the smaller angle?

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Dec 28, 2015

Answer:

The smallest angle is #40 degrees#

Explanation:

When two Angles are Supplementary when they are equal to 180 degrees. Let smaller one #2x# and bigger angle be #7x#.

#2x+7x=180#

#9x=180#

#x=20#

Thus, the two angles are:

#2(x)= 2(20)= 40 degrees#

#7(x)= 7(20)= 140 degrees#
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The smallest angle is #40 degrees#

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5
Dec 28, 2015

Answer:

#40^@#

Explanation:

#2x + 7x = 180^@#

#9x=180^@#

#x=180^@/9#

#x= 20^@#

therefore smallest #angle# #= 2x = 2*20= 40#

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