Question

Solve for 'x' in both of the following problems. Show all your work/explanations on your own paper and then submit a picture of your work and answers in the dropbox below.

Answer 1

Answer/Step-by-step explanation:

1. <B is an inscribed angle intercepting arc CA.

Therefore, m<B = ½*128 (inscribed angle theorem)

m<B = 64°

x = 180 - (m<B + m<A) (sum of angles in a triangle)

x = 180 - (64 + 43)

x = 180 - 107 = 73°

2.
`KH*HI = JH*HG` (intersecting chords theorem)

`10*x = 14*5`

Solve for x

`10x = 70`

`(10x)/(10) = (70)/(10)`

`x = 7`