Find the measure of X in O.

The answer choices are 104, 64 ,76, 116

Pls explain and I will mark brainliest.

Find the measure of X in O The answer choices are 104 64 76 116 Pls explain and I will mark brainliest class=

Respuesta :

Answer:

  • C. 76

Step-by-step explanation:

Use the formula for angle formed by the chords:

  • Angle formed by 2 chords = 1/2( sum of intercepted arcs)

Let the supplementary angle of x be y

  • x + y = 180 (straight angle)

Find the value of y, using the above mentioned formula

  • y = 1/2(168 + 40) = 1/2(208) = 104

Find the value of x:

  • x = 180 - y
  • x = 180 - 104 = 76

Correct choice is C