Check your Understanding A In OA, DG and CF are diameters and FAB is a right angle. MLFAG = 48° and mEF = 40°. Find the failowing measures of an angle or an arc. 1. MLBAC 6. MGBD 7. mfG 8. mCD 9. mDE 10. MEGB 2. MLGAB 3. MLEAF 4. MLCAD 5, MLDAE B. AC and BD are diameters of OE. AB = CD and MLAEB = 100°. 1. Find the measurement of each of the following: C. MLDEA d. mAB 2. Identify the intercepted arc of each of the following angles. C. LBEC e. MBCD 1. MABD a. MLBEC b. MLCED e. ZBCD 1. LABD a. LDEA b. LCED d. LACD 3. Identily the following. a. 4 semicirdes 65° b. 2 pairs of congruent chords c. 2 pairs of congruent arcs C. In OT, mPQ = 65°, mzR = 80° and mes = 70°.Find: 4. mSP = 800 R. 1. mLP = 700 2. mzQ = 3. mộR 5. MLRS = D. Triange BCD is inscribed in O A. IH BC and CD are congruent and mzB = 40°. Find the measure of each of the folowing. 3. mBc 5. mDB 4. mCD 1. mLD 2. mLC キ

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Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.