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3 years ago

One of two complementary angles measures 30 degrees more than three times the other. Find each angle.

Mathematics

1 answer:

Leviafan [203]3 years ago

7 0

The two complementary angles are:

95° and 15°

Step-by-step explanation:

Let x be one angle

then the other angle will be 90-x

As the sum of complementary angles is 90

So,

then according to statement

$x = 3(90-x)+30\\x = 270-3x +30\\x = 300-3x\\x+3x = 300\\4x = 300\\x = \frac{300}[4}\\x = 75\\and\\90 -x = 90 - 75 = 15$

The two complementary angles are:

95° and 15°

Keywords: Angles, triangles

Learn more about angles at:

#LearnwithBrainly

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Can someone help me

kolbaska11 [484]

m < 1 = 130°

m < 1 = 130°m < 2 = 50°

We know this is a linear pair, therefore the two angles must add up to 180°

$(m < 1 )+ (m < 2 )= 180$

$5x + x + 24 = 180$

Combine like terms

$6x + 24 = 180$

Isolate the variable

$6x = 156$

$x = 26$

Plug in 26 for x in both of the individual angle equations.

$m < 1 = 5x$

$= 5(26)$

$= 130$

$m < 2 = x - 24$

$= (26) + 24$

$= 50$

A good way to check if we did this correctly, is to add up the two angles. Because 180 + 50 = 180, we did this correctly.

I hope this helped. Let me know if you have any questions!

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Ainat [17]

Answer:

a is 2 b is 5 ď is 3 e is 5 and that is it this is not the correct awns

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amm1812

2x = 74

x = 74 ÷ 2

x = 37

that's all

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