In Triangle DEF, the sum of the measures of Angle D and Angle E is 110. The sum of the measures of Angle E and Angle F is 150. Find the sum of the measures of Angle D and F.

<D + <F =

Step-by-step explanation:

Given: <D + <E =

           <E + <F =

But, the sum of angles in a triangle = .

Thus;

<D + <E + <F =

+ <F =

⇒ <F = -

        =

<F =

Also,

<E + <F =

<E + =

<E = -

    =

<E =

So that;

<D + <E =

<D + =

<D = -

     =

<D =

⇒ <D = , <E = , and <F = .

Therefore;

<D + <F = +

             =

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step-by-step explanation:

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