Question

1 fill in the blank 2 points
three angles are shown: ∠wel, ∠ler, and ∠wer.
if (mangle ler=(14.35x - 9.8)^{circ}), (mangle wel=(2.5x + 10)^{circ}), and (mangle wer = 135^{circ}), what is (mangle wel)?
m∠wel = type your answer..

Explanation:

Step1: Use angle - addition property

Since $\angle WER=\angle WEL+\angle LER$, we can set up the equation $(2.5x + 10)+(14.35x-9.8)=135$.

Step2: Combine like - terms

Combine the $x$ terms and the constant terms: $(2.5x+14.35x)+(10 - 9.8)=135$, which simplifies to $16.85x+0.2 = 135$.

Step3: Isolate the variable term

Subtract 0.2 from both sides of the equation: $16.85x=135 - 0.2=134.8$.

Step4: Solve for $x$

Divide both sides by 16.85: $x=\frac{134.8}{16.85}=8$.

Step5: Find $m\angle WEL$

Substitute $x = 8$ into the expression for $m\angle WEL$: $m\angle WEL=(2.5\times8 + 10)^{\circ}$. First, calculate $2.5\times8=20$, then $20 + 10=30$. So $m\angle WEL = 30^{\circ}$.

Answer:

$30$