Question

5. The measure of two supplementary angles, angle s and angle t , are in the ratio of 7:3. Find the value of m

Answer 1

Given that ∠s and ∠t are supplementary angles, and they are in the ratio of 7:3

Total ratio = 7 + 3 = 10

The sum of 2 supplementary angles is 180 degrees.

Therefore, we have:

m∠s + m∠t = 180

Let's find measure of angle s, using the formula:

$\frac{ratio\text{ of angle s}}{\text{total ratio}}\ast180$$\frac{7}{10}\ast180\text{ = }\frac{1260}{10}\text{ = 126}$

Therefore, the value for m∠s = 126 degrees

ANSWER:

m∠s = 126 degrees