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

1 Answer
Apr 13, 2017

#45^@#

Explanation:

enter image source here

A tangent-tangent angle is the angle formed by two tangents to a circle.
As shown in the figure, #W# is the tangent-tangent angle. #O# is the center of the circle.

Formula : #W=1/2(Y-X)#

Given #X=135^@, and Y=225^@#
#=> W=(225-135)/2=45^@#