-5.97, 600, 205, 456.98, -45.9
Answer:
-45.9 , -5.97 , 205 , 456.98 , 600
Answer:
60
Step-by-step explanation:
x + y = 180°
x + z = 180°
x = y
y + z = 180
we know that
If lines p and q are parallel
then
---------> by corresponding angles
-------> by consecutive interior angles
Let's verify all the equations to determine the solution to the problem.
Equations
case A)
The equation guarantees that the lines p and q are parallel (see the procedure)
case B)
The equation guarantees that the lines p and q are parallel (see the procedure)
case C)
The equation does not guarantee that the lines p and q are parallel. The only way would be that x-angle and z-angle are right angles
case D)
The equation does not guarantee that the lines p and q are parallel. The only way would be that x-angle and y-angle are right angles
case E)
The equation is always true, but toes not guarantee that the lines p and q are parallel.
therefore
the answer is
Answer: The correct options are
(A) x = z.
(B) x + y = 180°.
Step-by-step explanation: Given that the letters x, y and z are angle measures.
We are to select the correct equations that would guarantee that lines p and q are parallel.
Since the lines p and q are parallel, so
(i) the angles with measures x and y are interior angles on the same side of the transversal
and
(ii) the angles with measure x and z are corresponding angles.
We know that
if two parallel lines are cut by a transversal, then the measures of the corresponding angles are equal
and
the sum of the measures of the interior angles on the same side of the transversal is 180°.
Therefore,
x + y =180°, since they are interior angles on the same side of the transversal
and
x = z, since they are corresponding angles.
Thus, the correct options are
(A) x = z.
(B) x + y = 180°.