In the diagram below, AD‾≅AE‾,AD ≅ AE , BA‾∥CE‾,BA ∥ CE , CB‾∥DA‾CB ∥ DA and m∠BAD=62∘.m∠BAD=62 ∘ . Find m∠DAE.m∠DAE.

In the diagram below ADAEAD AE BACEBA CE CBDACB DA and mBAD62mBAD62 Find mDAEmDAE class=

Respuesta :

Given that

[tex]\bar{AD}\cong\bar{AE}[/tex]

Therefore,

[tex]\begin{gathered} m\angle BAD\cong m\angle ADE=62^0 \\ m\angle BAD\cong m\angle AED=62^0 \\ m\angle DAE=? \end{gathered}[/tex]

Hence,

[tex]\begin{gathered} m\angle ADE+m\angle AED+m\angle DAE=180^0 \\ 62^0+62^0+m\angle DAE=180^0 \\ 124^0+m\angle DAE=180^0 \\ m\angle DAE=180^0-124^0 \\ m\angle DAE=56^0 \end{gathered}[/tex]

Therefore,

[tex]m\angle DAE=56^0[/tex]

Reason

Sum of angles in a triangle.