what is the value of x? assume that the line is tangent to the circle 8512014070

Answer:70°Step-by-step explanation:Connect the center of the circle with endpoints of the chord. Let the center of the circle be point O and endpoints of the chord be points A (let point A lie on the tangent line too)and B.From the figure, central angle AOB has the measure of 220°. Consider triangle AOB. This triangle is isosceles triangle because OA and OB are both radii. In this triangle the measure of angle AOB is 360° - 220° = 140°.Angles OAB and OBA are angles adjacent to the base AB, so they are congruent. The sum of the measures of all interior angles in triangle is always 180°, som∠OAB + m∠OBA + m∠AOB = 180°m∠OAB = m∠OBA = 1/2 (180° - 140°)m∠OAB = 20°Since drawn line is tangent line, then OA is perpendicular to this tangent line and x° = 90° - 20°x° = 70°