Question

In circle O below, segment RA is a diameter, arc RP = 104 degrees, and arc RQ = 70 degrees. Find the

measure of the indicated angle
m<=5

Answer 1

76°

Explanation:

Finding m∠4 :

• The angle is equal to arc RP
• ∠4 = ° 104

Finding m∠5 :

• ∠4 + ∠5 = 180° (property of linear angles)
• ∠5 = 180° - 104°
• ∠5 = 76°

Answer 2

76°

Explanation:

Arc RP = 104

Major arc RPA = 180 (half a circle)

180-104 = 76

Arc AP = 76, so Angle 5 = 76

Central Angles and their arcs are equal