Question

complete the table according to the diagram.
angle
∠bya
∠mae

1. if ∠eau=(7x - 14)° and ∠pyn=(11x - 4)°, what is the value of x?
2. if ∠may=(4w - 5)° and ∠bya=(6w + 15)°, what is the value of w?

angle measure
5.
117°
7.
117°
relationship with ∠may
6.
consecutive interior

1. i dk the relationship

lined pair

Explanation:

Step1: Set up equation for problem 9

Since the sum of $\angle EAU$ and $\angle PYN$ is likely $180^{\circ}$ (assuming they are supplementary, as no diagram - but common in angle - related problems), we set up the equation $(7x - 14)+(11x - 4)=180$.

Step2: Combine like - terms

$7x+11x-14 - 4 = 180$, which simplifies to $18x-18 = 180$.

Step3: Add 18 to both sides

$18x=180 + 18$, so $18x=198$.

Step4: Solve for x

$x=\frac{198}{18}=11$.

Step5: Set up equation for problem 10

Assuming $\angle MAY$ and $\angle BYA$ are supplementary (since no diagram but common relationship), we have $(4w - 5)+(6w + 15)=180$.

Step6: Combine like - terms

$4w+6w-5 + 15 = 180$, which simplifies to $10w + 10 = 180$.

Step7: Subtract 10 from both sides

$10w=180 - 10$, so $10w=170$.

Step8: Solve for w

$w=\frac{170}{10}=17$.

Answer:

1. $x = 11$
2. $w = 17$