Question

question 1 (3 points)use the given ratios to solve each problem.the ratio of the measures of two supplementary angles is 4:11. what is the measure of the smaller angle?blank 1: 48question 2 (4 points)solve the proportion.$\frac{x}{4}=\frac{8}{2}$x=_______blank 1: 16

Explanation:

Step1: Cross-multiply the proportion

$x \times 2 = 8 \times 4$

Step2: Calculate both sides

$2x = 32$

Step3: Isolate x by dividing by 2

$x = \frac{32}{2}$

Step1: Sum ratio parts

$4 + 11 = 15$

Step2: Find value per part

$\frac{180}{15} = 12$

Step3: Calculate smaller angle

$4 \times 12 = 48$

Answer:

16

---