Question

angle pairs created by parallel l
for each set of angles name the angle pair, v
for x, and plug in x to find the mis
3)
type of angle pair
these angles are
equation 3x + 77+4x + 54 = 180
x=
angle measurements=

Explanation:

Step1: Combine like - terms in the equation

Combine the $x$ terms and the constant terms in the equation $3x + 77+4x + 54=180$.
$(3x + 4x)+(77 + 54)=180$, which simplifies to $7x+131 = 180$.

Step2: Isolate the variable term

Subtract 131 from both sides of the equation $7x+131 = 180$.
$7x=180 - 131$, so $7x = 49$.

Step3: Solve for x

Divide both sides of the equation $7x = 49$ by 7.
$x=\frac{49}{7}=7$.

Step4: Find the angle measures

For the first angle $3x + 77$, substitute $x = 7$: $3\times7+77=21 + 77=98^{\circ}$.
For the second angle $4x + 54$, substitute $x = 7$: $4\times7+54=28 + 54=82^{\circ}$.

The type of angle pair is supplementary angles (since their sum is $180^{\circ}$).

Answer:

Type of angle pair: Supplementary angles
$x = 7$
Angle Measurements: $98^{\circ}$ and $82^{\circ}$