<span>D) alternate exterior angles; x = 5; 116 degrees; 116 degrees </span> If the diagram given by derricklawrence is correct, then you will realize that the angles with expressions are alternate exterior angles, so they have the same value, which means that the equations are equal to each other. So we can create the following equality: 21x + 11 = 20x + 16
Now to solve for x. Subtract 20x from both sides, getting: x + 11 = 16
Subtract 11 from both sides, getting: x = 5
Now substitute the known value for X into one of the equations. 20x + 16 = d 20*5 + 16 = d 100 + 16 = d 116 = d
And of the available options, choice "<span>D) alternate exterior angles; x = 5; 116 degrees; 116 degrees" is an exact match.
It's very simple. In 4 decimal digits there are 10,000 (0000 to 9999) possible values. The odds of any one of them coming up randomly is one in 10,000. A specific "4 digit number" would have 1/9000 chance, since there are 9000 4 digit numbers (1000-9999).