Answer:
w = -7
Step-by-step explanation:
Isolate the variable, w. Note the equal sign, what you do to one side, you do to the other.
Divide -2 from both sides:
(14)/-2 = (-2w)/-2
(14)/-2 = w
Note that when you are dividing:
- 1 negative & 1 positive sign will result in a negative answer
- 2 negative sign will result in a positive
- 2 positive sign will result in a positive
In this case:
(14)/-2 = -7
-7 is your answer for w.
~
Answer:
180
Step-by-step explanation:
180-120 = 60 this is one of all the congruent angles
of the top of my head i know a regular triangle has three 60 degree angles meaning it is 60*3 = 180
By definition, two angles are supplementary if the sum of them is 180 degrees. In this case (see figure attached with the answer) the line AD is transversal to lines AB and DC. This is a proof of the Same-side interior angle theorem.
This theorem states that if we have two lines that are parallel and we intercept those two lines with a line that is transversal to both, same-side interior angles are formed, and also sum 180º, in other words, they are supplementary angles.
Then:
By the definition of a parallelogram, AB∥DC. AD is a transversal between these sides, so ∠A and ∠D are <em><u>same-side interior angles</u></em>. Because AB and DC are <em><u>parallel</u></em>, the same-side interior angles must be <em><u>supplementary</u></em> by the same-side interior angles theorem. Therefore, ∠A and ∠D are supplementary.