Two angles form a linear pair. One angle is 5 times the measure of the other. Find the measure of each angle.
1 answer:
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Answer:
Option A.
Step-by-step explanation:
we know that
If AB is tangent to the circle
then
The triangle show in the figure must be a right triangle
Remember that
If a triangle is a right triangle, then the triangle must satisfy the Pythagorean Theorem
<u><em>Verify</em></u>
Applying the Pythagorean Theorem
-----> is not true
so
Is not a right triangle
therefore
line AB is not tangent to the circle
To use the equal values method, we want to get both of these equations equal to the same thing, and then set them equal to each other. To do this, let's solve both for x:
For the second equation:
Then if we set these two equal to each other:
Then we take this y value and plug it back into either of our starting equations. I'll use the first one as an example:
Now just solve for x and you'll have your solution.
For the second equation:
Then if we set these two equal to each other:
Then we take this y value and plug it back into either of our starting equations. I'll use the first one as an example:
Now just solve for x and you'll have your solution.