Question

Given IJK is congruent to LMN, find the length of all unbiased sides and the measure of all unlabeled angles. Round all answers to the nearest tenth.

Answer 1

Answer

IK = 6.9 cm

m < K = 30 degrees

NM =

Given that IJK is congruent to LMN

Therefore, IJ = ML

IK = LN

JK = MN

Where, IJ = 4cm

JK = 8cm

LN = 6.9cm

m < J = 60 degrees

m < N = 30 degrees

Since IK = LN

LN = 6.9cm

Therefore, IK = 6.9cm

m< K = m< N

m < N = 30 degrees

Therefore, m < K = 30 degrees

NM = JK

JK = 8cm

Therefore, NM = 8cm

ML = IJ

IJ = 4 cm

Therefore, ML is 4cm

m < M = m < J

m< J = 60 degrees

Therefore, m < M = 60 degrees

m < I = m < L

m < I = 90 degrees

Therefore, m < L = 90 degrees