460,975 views
5 votes
5 votes
A. 47 degree B. 90 degree C. 102 degree D. 121 degree

A. 47 degree B. 90 degree C. 102 degree D. 121 degree-example-1
User Felipe Vasconcelos
by
2.8k points

1 Answer

22 votes
22 votes

Quadrilatera WXYZ is congruent to quadrilateral LKMN

The order of the letters when both quadrilaterals were named is very important, because it tells you which vertex of one of them is congruent with the vertex of the other one, as well as the angles so that:

We know that

m∠W=121º

m∠Y=47º

m∠K=102º

m∠M=90º

And the corresponding angles are congruent so that:

m∠W=m∠L=121º

m∠X=m∠K=102º

m∠Y=m∠N=47º

m∠Z=m∠M=90º

From this we can determine that the measure of m∠L=121º, so the correct option is D.

A. 47 degree B. 90 degree C. 102 degree D. 121 degree-example-1
User Nocash
by
3.4k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.