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

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15
Dec 28, 2015

The smallest angle is $40 \mathrm{de} g r e e s$

#### Explanation:

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

$2 x + 7 x = 180$

$9 x = 180$

$x = 20$

Thus, the two angles are:

$2 \left(x\right) = 2 \left(20\right) = 40 \mathrm{de} g r e e s$

$7 \left(x\right) = 7 \left(20\right) = 140 \mathrm{de} g r e e s$
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The smallest angle is $40 \mathrm{de} g r e e s$

Then teach the underlying concepts
Don't copy without citing sources
preview
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Write a one sentence answer...

#### Explanation

Explain in detail...

#### Explanation:

I want someone to double check my answer

Describe your changes (optional) 200

5
Dec 28, 2015

${40}^{\circ}$

#### Explanation:

$2 x + 7 x = {180}^{\circ}$

$9 x = {180}^{\circ}$

$x = {180}^{\circ} / 9$

$x = {20}^{\circ}$

therefore smallest $\angle$ $= 2 x = 2 \cdot 20 = 40$

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