Question

A tangent-tangent angle intercepts two arcs that measure 135 degrees and 225 degrees. What is the measure of the tangent tangent angle?

Answer 1

225-130/2=45degree..

Answer 2

`M=45 degrees`

Explanation:

It is given that A tangent-tangent angle intercepts two arcs that measure 135 degrees and 225 degrees, thus in this the vertex lies outside, therefore

The measure of the tangent tangent angle is the half of the difference of the two given arc, that is

`M=(1)/(2)(225-135)`

⇒
`M=(90)/(2)`

⇒
`M=45 degrees`

Therefore, The measure of the tangent tangent angle is 45 degrees.