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Answer:
ΔLMN ~ ΔLFG; scale factor 7/3
Step-by-step explanation:
The ratios of side lengths, shortest to longest are ...
FG : GL : LF = 24 : 36 : 42 = 4 : 6 : 7 (reduced)
MN : NL : LM = 56 : 84 : 98 = 4 : 6 : 7 (reduced)
The side ratios are the same, so ΔLMN ~ ΔLFG. The scale factor is ...
MN/FG = 56/24 = 7/3
Answer:
a = 51°
b = 67°
Step-by-step explanation:
Angle a is equal to 51 since it is vertically opposite to the angle on top of it.
Angles in a triangle add up to 180 so Angles a,b and 62 should add up to 180:
a+b+62=180
51+b+62=180
b= 180-(51+62)
b= 180-113
b= 67
