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`
`(7)/(10)\ast180\text{ = }(1260)/(10)\text{ = 126}`

Therefore, the value for m∠s = 126 degrees

ANSWER:

m∠s = 126 degrees