prove that these two triangles are similar
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In triangle LNM
L+M+N = 180° (angle sum property)
57+45+N = 180°
N = 78°
In triangle PQR
P+Q+R = 180° (angle sum property)
45+78+R = 180°
R = 57°
For triangle PQR and triangle MNL
P = M (given)
Q = N (calculated)
R = L (calculated)
By AAA postulate,
Triangle PQR and triangle MNL are similar.
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Here's your answer...
In triangle LNM
L+M+N = 180° (angle sum property)
57+45+N = 180°
N = 78°
In triangle PQR
P+Q+R = 180° (angle sum property)
45+78+R = 180°
R = 57°
For triangle PQR and triangle MNL
P = M (given)
Q = N (calculated)
R = L (calculated)
By AAA postulate,
Triangle PQR and triangle MNL are similar.
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