Consider parallelogram abcd. choose all of the statements which must be true

Step-by-step explanation:

In the given parallelogram, we know that

From this parallels and having segment as a transversal, we have

by alternate interior angles.

Then, we have

by givens.

Finally, we have

, by consecutive interior angles, which are supplementary by definition.

Therefore, the right answers are

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116