Question

In circle C major arc ADB is represented by 4x + 50

a) type the equation needed to solve for x

B) what is the value of x in the diagram


Please help!

Answer 1

x = 50

Explanation:

`m\angle ACB = m\overset {\frown} {AB} \\</p><p>\therefore m\angle ACB = 110°\\</p><p>\therefore m (reflex\angle ACB) = 360°- 110°\\</p><p>\therefore m (reflex\angle ACB) = 250°\\</p><p>Now \\</p><p></p><p>m\overset {\frown} {ADB}= m (reflex\angle ACB) \\</p><p>\therefore (4x + 50)°= 250°\\</p><p>\purple {\boxed {\bold {\therefore 4x + 50= 250}}} \\</p><p>(which\: is \: required\: equation) \\</p><p>\therefore 4x = 250-50\\</p><p>\therefore 4x = 200\\</p><p>\therefore x = (200)/(4)\\</p><p>\huge \red {\boxed {\therefore x = 50}} \\`