Question

If EF = EH and EGF = s + 4°, and EGH = 2s, what is the value of s? ​

a. s
b. s + 4°
c. 2s
d. 2s + 4°

Answer 1

By setting up an equation based on the given angles and solving for s, we find that the value of s is 58.67 degrees.

Step-by-step explanation:

The problem you are working on involves finding the value of s in the context of angles along a line, which sum up to 180 degrees. If EF equals EH and angle EGF is equal to s + 4°, and angle EGH equals 2s, then together angle EGF and angle EGH form a straight line and thus, EGF + EGH = 180°.

To find the value of s, set up the equation (s + 4°) + 2s = 180°. Combining like terms, you get 3s + 4° = 180°. Then, by subtracting 4° from both sides, 3s = 176°. Finally, by dividing both sides by 3, the value of s is determined to be s = 58.67° (rounded to two decimal places).