Find the length of arc AB

Question

asked May 25, 2022 14.0k views

2 Answers

Maksym Zavershynskyi · Answer 1 · 2022-05-27T02:37:44+0000

Answer:

$m\widehat {AB} = 144\degree$

$m\widehat {ACB} = 216\degree$

Explanation:

Let the measures of the given arcs be 2x and 3x.

$\because m\widehat {AB} \:\&\: m\widehat {ACB}$ sums up to form a circle.

Therefore,

2x + 3x = 360°

5x = 360°

x = 360°/5

x = 72°

2x = 2*72 = 144°

3x = 3*72° = 216°

$\therefore m\widehat {AB} = 144\degree$

$\& m\widehat {ACB} = 216\degree$