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1. if the measure of arc AD = 165 and the measure of arc DB is 63, find the measure of arc ACD.

2. If the measure of arc BD = 55 and the measure of arc ACD = 43, find the measure of arc AD.​


1 If The Measure Of Arc AD 165 And The Measure Of Arc DB Is 63 Find The Measure Of Arc ACD2 If The Measure Of Arc BD 55 And The Measure Of Arc ACD 43 Find The M class=

Sagot :

Answer:

1. 51

2. 141

Step-by-step explanation:

The measure of an angle formed by two secants, two tangents, or a secant and a tangent drawn from a point outside the circle is equal to half the difference of the measures of the intercepted arcs.

angle ACD = ½( arc AD - arc BD)

1. angle ACD = ½( arc AD - arc BD)

angle ACD = ½( 165 - 63) =51°

2. angle ACD = ½( arc AD - arc BD)

43 = ½( arc AD -55)

86 = arc AD - 55

arc AD = 141

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