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BartSMP [9]
3 years ago
6

Angle 1 and 2 are supplementary. Angle 1=3x° angle 2=(2x. -25)° select from the drop down menu

Mathematics
1 answer:
goldfiish [28.3K]3 years ago
8 0

Answer:

x = 41°

∠1 = 123°

∠2 = 57°

Step-by-step explanation:

If angles 1 & 2 are supplementary, that means...

\angle1 +\angle2=180\textdegree

To find the value of each angle, you first must find the value of x by plugging in the values of both angles...

\angle1 +\angle2=180\textdegree\Longrightarrow3x+(2x - 25) = 180\textdegree

First, combine like values, then subtract add 25 to both sides.

3x + 2x = 5x\Longrightarrow 5x - 25+ (25) = 180 + (25)\\\\5x=205

Then, divide both sides by 5, and plug the value of x into the original equations for angles 1 & 2.

\frac{5x = 205}{5}\\\\x = 41\textdegree\\\\\angle1= 3x = 3(41) = 123\textdegree\\\\\angle2=2x-25=2(41)-25=82-25=57\textdegree

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an angle measures 24° less than the measure if a supplementary angle . what is the measure of each angle​
vagabundo [1.1K]

Hey there!

If two angles are supplementary, that means that the measures of the two angles have a sum of 180.

If the two angles were of equal measure, they would both be 90 degrees.

The easiest way to get this would be to subtract 12 degrees from one 90 degree angle and add them to the other 90 degree angle so one angle has 24 more degrees then the other.

90 - 12 = 78

90 + 12 = 102

Let's check to make sure this works.

102 + 78 = 180 That checks out.

102 - 24 = 78 That also works.

So, the measures of the angles are 102 and 78.

Hope this helps!

4 0
3 years ago
Simplify the ratio : <br>35 minutes to 45 seconds ​
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Step-by-step explanation:

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brainly.com

Step-by-step explanation:

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3 years ago
A copy machine repairman makes $12.50 per hour plus $4 for every service call he performs. Last week he worked 34 hours and made
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3 years ago
Angles X and Y are supplementary. Angle X is 3 times the measure of angle Y. What is the measure of angle X?
evablogger [386]
<span>supplementary angles sum = 180
</span>lets x  = measure of angle Y

x + 3x = 180
4x = 180
x = 45

angle Y = 45
angle X = 3 x 45 = 135

answer
Angle X = 135
8 0
3 years ago
Read 2 more answers
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