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Identify an algebraic equation you can use to find the measure of each angle based on the given description. Then find the measure of each angle.

Two angles form a linear pair. The measure of one angle is 15° less than 23
the measure of the other angle.



Answer :

facundo3141592

The angles that form a linear pair measure:

x = 82.5°

y = 97.5°

Which equation can be used to determine the measure of the angles?

Two angles form a linear pair if their measures add up to 180°. so if the first angle is x and the second is y, then:

x + y = 180°

And we also know that one is 15° than the other angle, then:

x = y - 15°

We can replace that in the above equation to get:

(y - 15°)  + y = 180°

2y - 15° = 180°

That is the equation we need to solve.

Solving that we get:

y = (180° + 15°)/2 = 97.5°

And the other angle measures 15° less than that, so:

x = y - 15° = 97.5° - 15° = 82.5°

If you want to learn more about angles:

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