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instruction given the quadrilateral ABCD inscribed in the circle, find x and y​

The opposite angles in a cyclic quadrilateral are supplementary. i.e., the sum of the opposite angles is equal to 180˚

So using theorem we find that

∠A+∠C = 180

x + 108 = 180

x = 180 - 108

x = 72

∠B+∠D = 180

88 + y = 180

y = 180 - 88

y = 92

Answered by Gauthmath must click thanks and mark brainliest

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.