The dimensions of a sports pennant are given in the diagram. Find the values of x and y. x=

y=

x = 79°

y = 22°

Step-by-step explanation:

The sum of interior angles in a triangle is equal to 180°

79° + x° + y° = 180° the given triangular shape is isosceles which means x = 79°

so 79° + 79° + y° = 180° add like terms

158° + y° = 180° subtract 158 from both sides

y° = 22°

∠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.