Question

Ic
А
50
B
(2x + 260 )°
O A. O
B. 2
C.5
OD.7

Answer 1

`\Huge \boxed{x=0}`

Explanation:

Angles on a straight line add up to 180 degrees.

y + 50 = 180

y = 180 - 50 = 130

We can use Angle formed by a chord and tangent theorem to solve for x.

The angle formed by a chord and tangent is half the measure of the intercepted arc.

130 = 1/2(2x+260)

Expand brackets.

130 = x+130

Subtract 130 from both sides.

x = 0