Given: m arc AB = 6x, m arc BC = 6x, m arc CD= x, m arc DA= 2x
Find: m < ATB

m∠ATB=84°

Step-by-step explanation:

First we have to find the measure of angle ATB in terms of x

The equation would be m∠ATB=1/2(AB+DC)

Subsitute Values and you get m∠ATB=3.5x

The next step is solving for x.

Add all of the values and you get 15x. The arcs should equal 360°. This means 15x=360°

x=24° Plug it in and you get m∠ATB=84°

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