Question

the two angles of a quadrilateral are 89° each . if the other two angles are equal , find the equal angles

Answer 1

sum of four angles in a quadrilateral is equal to 360 degrees
$x + x + 89 + 89 = 360 \\ 2x + 178 = 360 \\ 2x = 360 - 178 \\ 2x = 182 \\ x = \frac{182}{2 } = 91$

Answer 2

sum of angles of a quadrilateral = 360°

let the unknown 2 angles =2x

A/Q
360°=89°+89°+2x
=>360°-89°-89°=2x
=>360°-178°=2x
=>182°=2x
=>91°=x

So the 2 unknown angles=91° each

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