Question

find the measure of each angle.
2x + 3=
18x + 7=
(simplify your answers. type an integer or a fraction.)

Explanation:

Step1: Set up equation

Since the two angles are complementary (sum to 90°), we have $(2x + 3)+(18x + 7)=90$.

Step2: Combine like - terms

$2x+18x+3 + 7=90$, which simplifies to $20x+10 = 90$.

Step3: Isolate the variable term

Subtract 10 from both sides: $20x=90 - 10$, so $20x=80$.

Step4: Solve for x

Divide both sides by 20: $x=\frac{80}{20}=4$.

Step5: Find the measure of the first angle

Substitute $x = 4$ into $2x+3$: $2\times4+3=8 + 3=11$.

Step6: Find the measure of the second angle

Substitute $x = 4$ into $18x+7$: $18\times4+7=72+7 = 79$.

Answer:

$2x + 3=11^{\circ}$
$18x + 7=79^{\circ}$