Question

Find the value of each variable . The dot represents the center of the circle .Lines that appear tangent are tangent a=29B= I just need part B don't do A please thank u

Answer 1

a = 29°

c = 40°

b = 61°

Explanation:

The intercepted arc = 2 × inscribed arc

The intercepted arc = 58°

inscribed arc = a°

58° = 2(a°)

58 = 2a

a = 58/2

a = 29°

The intercepted arc = 80°

inscribed arc = c°

80 = 2(c°)

80 = 2c

c = 80/2

c = 40°

58° + the unknown arc = 180° (angle on a straight line)

the unknown arc = arc after 58 degrees towards m

the unknown arc = 180° - 58°

the unknown arc = 122°

b = 1/2(unknown arc)

b = 1/2(122)

b = 61°