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Attempt following question by selecting a choice to answer.
c
ΔABC
and
ΔDEF
are congruent,
m
∠
B = 90°,
and
m
∠
A = 40°.
What is the measure of
∠
F?
DDD ccc
A.
c
50°
B.
c
45°
C.
c
70°
D.
c
40°
cc
A
View Solution Steps
Step 1: Sum of the angles in a triangle is 180° .
Step 2:
m
∠
A +
m
∠
B +
m
∠
C = 180°.
Step 3: 40° + 90° +
m
∠
C = 180°[Substitute
m
∠
A = 40° and
m
∠
B = 90°.]
Step 4: 130° +
m
∠
C = 180°
Step 5:
m
∠
C = 180° - 130° [Subtract 130° from each side.]
Step 6:
m
∠
C = 50°
Step 7: Corresponding sides and angles of ΔABC are equal to corresponding sides and angles of ΔDEF.
Step 8:
m
∠
A =
m
∠
D = 40°,
m
∠
B =
m
∠
E = 90°, and
m
∠
C =
m
∠
F = 50°.
Step 9:
m
∠
F = 50°
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