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Two lines intersect to form a linear pair. If the two adjacent angles formed are #4x# and #5x-7#, then what Is the measure of those angles?

Answer 1

Aaliyah Anderson

To find the measure of the angles, you need to use the fact that the sum of the angles in a linear pair is 180 degrees.

So, 4x + (5x - 7) = 180.

Combine like terms: 9x - 7 = 180.

Add 7 to both sides: 9x = 187.

Divide both sides by 9: x = 20.777...

Now, plug x back into each angle to find their measures:

First angle: 4x = 4(20.777...) = 83.111...

Second angle: 5x - 7 = 5(20.777...) - 7 = 103.888...

So, the measure of the first angle is approximately 83.111 degrees, and the measure of the second angle is approximately 103.888 degrees.

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Answer 2

Jayden Jackson

The two angles form a straight line or 180 degrees ...

Set up your equation :

#4x+(5x-7)=180#

#9x=187#

#x=187/9#

So, the two angles measure:

#4x=4(187/9)=748/9~~83.1^o#

#(5x-7)=(5(187/9)-7=872/9~~96.9^o#

CHECK YOUR WORK :

#(83.1^o)+(96.9^o)=180^o#

hope that helped

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.