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.
1)81° due to the fact that 99° and (1) are supplementary angles
2)99° due to the fact that (5) and (2) are adjacent angles that sum up to equal 180°
3)81° due to the fact that it is the corresponding angle to (5)
4)99° due to the fact that (4) and (2) are alternate interior angles which equal the same
5)81° due to the fact that (5) and (6) are adjacent angles which means they are supplementary angles that add to equal 180°
6)99° due to the fact that (6) and (2) are corresponding angles which equal the same value
7)81° due to the fact that (7) and (3) are corresponding angles with equal the same degree
Answer:
option C is correct answer ..
Step-by-step explanation:
angle A + angle B + angle C = 180° ( by angle sum property of triangle )
3x + 4x-19+ 3x -1 = 180
10x + -20 = 180
10x = 180 +20 = 200
x = 200/10 = 20 °
angle A = 3× 20 = 60 °
angle B = 4× 20 - 1 9 = 61 °
angle C = 3× 20 -1 = 59 °
angle B is greatest so side opposite to it will be greatest in length ....so length of AC is greatest ....
so option C is the correct answer of this question ...
plz mark my answer as brainlist plzzzz vote me also as I have done this question by taking a lot of time Hope it will be helpful for you ....
Answer:
-41.6
Step-by-step explanation:
Answer:
C (ignore this it asked for 20 characters)