Ask Question
27 June, 22:01

Given circle P with arc AE=53, arc BA=68 and arc CB=72 match the following angles with their corresponding measurements

+1
Answers (1)
  1. 27 June, 23:45
    0
    From the diagram;

    1. Angle 2 = ADB+BDH

    = arcAB/2 + 90

    = 34 + 90

    = 124°

    2. Angle 4 = 90°,

    Reason; the angle between a tangent and a radius is equal to 90. A tangent is a line that touches the circumference of a circle once even if prolonged.

    3. Angle 5 = 90 - BDC (note the acr subtends twice the angle it subtends on the circumference to the center.

    = 90-arc BC/2

    = 90-36

    = 54°

    4. Angle 6 = BFD

    = 180-ADB-FBD

    = 180-AB/2-DE/2

    But DE = 180 - 121 = 59

    Therefore, BFD = 180 - 34-29.5

    = 116.5°

    5. Angle 1 = 180 - BFD (angles on a straight line add up to 180°)

    = 180 - 116.5

    = 63.5°

    6. Angle 3 = 180 - (ADB+BFD)

    = 180 - (34 + 116.5)

    = 180 - 150.5

    = 29.5°

    similarly angle 3 = DE/2 = 59/2 = 29.5°

    7. Angle 8 = 90, because BD is diameter;

    angles subtended by a diameter to the circumference is always a right angle (90°)

    8. Angle 7 = BE

    but BE = AB+AE

    = 68 + 53

    = 121°
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “Given circle P with arc AE=53, arc BA=68 and arc CB=72 match the following angles with their corresponding measurements ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers