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

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Apr 4, 2018

Answer:

#color(green)("Measure of the smaller angle " = 40 ^@#

Explanation:

Given : #2x + 7x = 180^@, " as the two angles are supplementary"#

#9x = 180, " or " x = cancel(180)^color(red)(20) / cancel 9 = 20^@#

#"Smaller angle " = 2x = 2 * 20 = 40^@#

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