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What is the arc measure of ABC in circle P in degrees

What is the arc measure of ABC in circle P in degrees-example-1

2 Answers

4 votes

Answer:180

Step-by-step explanation: that angle makes up half of a circle and half of 360 is 180

answered
User TheKidsWantDjent
by
8.4k points
5 votes

Given:

m∠APB = 74°

To find:

The measure of ACB

Solution:

The measure of the central angle is congruent to the measure of the intercepted arc.

⇒ m(ar AB) = m∠APB

⇒ m(ar AB) = 74°

The complete angle of the circle is 360°.

⇒ m(ar ACB) + m(ar AB) = 360°

⇒ m(ar ACB) + 74° = 360°

Subtract 74° from both sides.

⇒ m(ar ACB) = 286°

The measure of arc ACB is 286°.

answered
User Patryk Godowski
by
9.1k points

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