1 Answer

Floris Padt · Answer 1 · 2023-09-15T12:15:29+0000

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By angle sum property of a triangle :

$\qquad \sf  \dashrightarrow \: x + 69 + x + 55 + 78= 180 \degree$

$\qquad \sf  \dashrightarrow \: 2x +202= 180$

$\qquad \sf  \dashrightarrow \: 2x = 180 - 202$

$\qquad \sf  \dashrightarrow \: 2x = - 22$

$\qquad \sf  \dashrightarrow \: x = - 11$

So, value of x is -11, now plug the value of x in angle A to get its measure~

$\qquad \sf  \dashrightarrow \: x + 69 = - 11 + 69 = 58 \degree$

Hence, Angle A = 58°

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