42 Less Than X Is

Geometry: Angles, complementary, supplementary angles Geometry

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Question 462209: If an angle is 42 degrees less than its supplement, discover each angle.
Answer by math-vortex(648) (Testify Source):
You tin can put this solution on YOUR website!
If an bending is 42 degrees less than its supplement, detect each bending.
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2 angles are supplements if their measures add together to 180 degrees.
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Permit
x = the measure of the kickoff bending
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The 2d bending is 42 less than x. An algebraic expression for the second angle is x-42 since the second angle is 42 less than the first angle.
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We besides know that the two angles are a supplementary pair. Their measures add upwardly to 180 degrees. We tin can translate this English language sentence into an equation:
10 + (10-42) = 180
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Now nosotros solve for 10.
x + (x-42) = 180
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Combine like terms.
2x - 42 = 180
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Add together 42 to both sides
2x = 180 + 42
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Combine like terms and separate both sides by two.
2x = 222
10 = 111
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The measure out of the starting time bending is 111 degrees.
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Nosotros know that the second angle is 42 degrees less, and then the second angle is 111 - 42 = 69 degrees.
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We see that these two angles are supplementary considering 111 + 69 = 180.
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Hope this helps!
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Ms.Figgy
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