Question

I need help please , i’ll give brainliest and 5 stars

Answer 1

Answer:

Arc DE = 70°

Arc RST = 206°

Step-by-step explanation:

arc DE + arc DC = 180° because EC is a diameter

7x + 7 + 11x + 11 = 180°

combine like terms:

18x + 18 = 180°

subtract 18 from both sides of the equation:

18x = 162°

divide both sides by 18:

x = 9

Arc DE = 7(9) + 7 = 70°

arc RST = 2(x + 103) = 2x + 206

arc RFT = 2(x + 77) = 2x + 154

arc RST + arc RFT = 360°

so:

2x + 206 + 2x + 154 = 360°

combine like terms:

4x + 360 = 360

4x = 0

x = 0

arc RST = 2x + 206 = 206°