Please help me on my activity on my math subject about using real-life objects or similar ones, formulate problems involving tangents and secants, then solve them and also provide illustrations. Thank you!

S T R U CT ION: Formulate problem given the following situations that solve. Show complete satiation. : ' Criteria: Content (50%) Completeness (20%) Creativity (20%) Nameless (10%) l. The chain and gears of bicycles or motorcycles or belt around two pulleys are some real-life illustrations of tangents and circles. Using these real-life objects or similar ones, formulate problems involving tangents, then solve. 2. The picture below shows a bridge in the form of an arc. It also shows how secant is illustrated in real life. Using the bridge in the picture and other real-lif e objects, formulate problems involving secants, then solve them. \"GOOD LMDERS must rst become 9 GOOD $ERWE' W W. 19g E. ANGLE FORMED OUTSIDE OF CIRCLE BY INTERSECTION E.1. TWO TANGENTS THEOREM: If two tangents intersect to form the vertex of an angle outside a circle and the sides of the angle intercept arcs on the circle, then the measure of the angle is equal to one-half the difference of the measures of the arcs intercepted by the sides of the angle. Angle Formed Outside by TWO TANGENTS = (DIFFERENCE of intercepted arcs)EXAMPLE 1: Find mLB A SOLUTION: From the given illustration and conditions, we B let mADC = 240 and mAC = 120. 1200 By substitution, we have MLB = = (mADC - mAC) Angle formed by two tangents theorem O. 2400 MLB = = (240 - 120) Substitute the mADC & MAC (120) Simplify MLB = 60 Answer Therefore, the measure of angle B is 60. EXAMPLE 2: Given two tangents, find x. SOLUTION: From the given illustration and conditions, we let Arc, = 250 and Arc2 = 360 - 250 = 110. tangent By substitution, we have 250 Angle formed by two X x = (Arc, - Arc2) tangents theorem O . Substitute the tangent x = = (250 -110) MathBas com mADC & MAC (140) Simplify MLB = 70 Answer Thus, the value of x is 70. EXAMPLE 3: Given two tangents, find x. SOLUTION: From the given illustration and conditions, we let x as the major arc and y as the minor arc. We have tangent xty = 360 X y = 360 - x 380 By substitution, we have Angle formed by tangent x = = (Arc, - Arc2) two tangents theorem MathBils com Angle formed by 38. = 5 (x - (360 - y) ) two tangents theorem 2(380) = x -360 + x Simplify 760 = 2x - 360 76 + 360 = 2x Addition Property of Equality 4360 = 2x Simplify 4360 2x Multiplication Property of Equality 2 2 x = 218. Answer Thus, the value of x is 218. E.2. TWO SECANTS THEOREM: If two secants intersect to form the vertex of an angle outside a circle and the sides of the angle intercept ares on the circle, then the measure of the angle is equal to one-half the difference of the measures of the arcs intercepted by the sides of the angle. Angle Formed Outside by TWO SECANT = = (DIFFERENCE of intercepted arcs)www.ss EXAMPLE 1: Find mZA SOLUTION: From the given illustration and conditions, we let mCE = 100 and mBD = 30 A B MLA = = (mcE - mBD) Angle formed by Two Secants 300 MLA = = (mcE - mBD) Substitute the mCE and mBD O. D (100 -30) Simplify 100 = = (70 0 ) E MLA = 350 Answer Therefore, the measure of angle A is 35. EXAMPLE 2: Given two secants, find x. 1700 SOLUTION: From the given illustration and conditions, we X 50 . let Angle formed = 50%, Arc, = 100 and Arc2 = x MainBits com mz = = (Arc1 - Arc2) Angle formed by Two Secants 50 = = (170 - x) Substitution. 2(50) = (170 - x) Multiplication Property of Equality 100 = 170 - X Simplify x = 170 - 100 Addition Property of Equality x = 70 Answer Thus, the value of x is 70. EXAMPLE 3: Given two secants, find x. 4x+50 30 3x SOLUTION: From the given illustration and conditions, we O let Angle formed = 3x, Arc, = 4x + 50 and Arc2 = 30 Matt Bits com ml = : (Arci - Arcz) Angle formed by Two Secants 3x = = (4x +50 - 30) Substitution. 2(3x) = (4x + 200) Multiplication Property of Equality 6x = 4x + 20 Simplify 6x - 4x = 20 Addition Property of Equality 2x = 20 Simplify 2x 20 2 2 Multiplication Property of Equality x = 10 Answer Thus, the value of x is 10