Answer: Intercepting.
Step-by-step explanation:
1. To solve this problem and classify the system of equations shown above, you can graph it has you can see in the graph attached.
2. As you can see the lines intersect each other, this means that the system of equation has one solution and the lines are intersecting.
3. Therefore, the answer is the option A: Intersecting.
For given parallelogram, the value of x = 114° and y = 66°
<h3>Explanation: </h3><em>(Refer figure)</em>
Given quadrilateral ABCD is a parallelogram.
m∠A = 66°
m∠B = x°
m∠C = y°
m∠D = 114°
Since by properties of parallelogram, the both pairs of opposite sides of a parallelogram are parallel.
Opposite angles of a parallelogram are congruent ...........................(1)
Consecutive angles of a parallelogram are supplementary ................(2)
Using (1) for given parallelogram ABCD; we get,
m∠B = m∠D
m∠A = m∠C
Therefore x = 114° and y = 66°.
Using (2) to check whether the two consecutive angles are supplementary.
( m∠A + m∠D ) = ( m∠B + m∠C ) = ( m∠C + m∠D ) = 66° + 114° = 180°
