Angles ∠MOK and ∠NOL are identical by opposite angle theorem.
∠M = ∠N through given information
∠MKO and ∠NLO are congruent. Since the other two angles of each triangle are equivalent, the last angle must be equivalent to the last angle of the other triangle. (180 - ∠1 -∠2 = ∠3); you could also prove ∠MKO = ∠NLO by stating that the opposite sides of the two angles are congruent.
ΔMKO and ΔNLO by Angle-Angle-Side theorem
since ΔMKO and ΔNLO, all corresponding parts of both triangles are congruent, so therefore MO ≅ NO
L = 2W + 1..................(1)
2L + 2W = 74
2L = -2W + 74..............(2) Adding (1) and (2):-
3L = 75
L = 75/3 = 25
W = (25 - 1) / 2 = 12
length is 25 inches and width = 12 inches
Answer:-9
Step-by-step explanation:
Just Add them
