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what is the answer of number 3 and 4?

What Is The Answer Of Number 3 And 4 class=

Sagot :

3. Inscribed angles
a)  m∠RDM = 1/2 (70°) = 35°
b)  m∠DRM = 1/2 (180° - 70°) = 1/2 (110°) = 55°
c)  m∠DMR = 1/2 (180°) = 90°
d) measure of arc DM = 180° - 70° = 110°
e) measure of arc RD = 180°  (half of perimeter of the circle)

4.  Inscribed quadrilateral
a)  m∠TIA = 1/2 [ (360° - 2(98°) ]
                 = 1/2 (360° - 196°)
                 =  1/2 (164°
                 = 82°

b)  m∠FAI = 1/2 [ (360° - 2(75°)]
                 = 1/2 (360° = 150°)
                 = 1/2 (210°)
                 = 105°