ABCD ~ EFGH
1 answer:
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Answer:
Step-by-step explanation:
To solve for x, what we need to note is that this is a line intersecting 4 nearly 90° angles.
All of those angles are the same.
We can see that angles ∠3, ∠4 and ∠1 are formed with this intersection line.
This means that ∠3 and ∠4 added together will be ∠5.
Since we know ∠3, ∠4, and ∠5 we can solve for x by creating an equation.
Now let's solve for x.
Now we know the value of x. We can substitute it into the expression for ∠1 (x+18) and find it's value.
So ∠1 is 33 degrees.
Complementary angles are two that, when added to each other, are 90 degrees. Since we know that ∠1 and ∠3 are opposite angles, we know their angle measurements must be the same. This means both ∠1 and ∠3 are 33 degrees.
HOWEVER, in order for them to be complementary, both angles added together must be 90.
66 is not 90. Therefore these two angles are not complementary.
Hope this helped!