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The triangles in the diagram are congruent. If mF = 40°, mA = 80°, and mG = 60°, what is mB?

A. 40 degrees
B. 60 degrees
C. 80 degrees
D. 100 degrees
E. 120 degrees

The triangles in the diagram are congruent If mF 40 mA 80 and mG 60 what is mB A 40 degrees B 60 degrees C 80 degrees D 100 degrees E 120 degrees class=

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chiarag305

Answer:

The answer is 40 degrees.

Step-by-step explanation:

Since the two triangles are congruent, which means they are the same shape and size, they share the same angle measures. Since angle B is the same as angle F, it equals 40 degrees.


I hope this helped! :-)

The measure of [tex]\angle B[/tex] is [tex]40^\circ[/tex]. So, option A is correct.

It is given that,

  • The given triangles are congruent.
  • [tex]m\angle F=40^\circ, m\angle A=80^\circ,m\angle G=60^\circ[/tex]

Explanation:

In the given triangles,

[tex]AC\cong EG[/tex]    (Given)

[tex]\angle A\cong \angle E[/tex]    (Given)

[tex]AB\cong EF[/tex]    (Given)

[tex]\Delta ABC\cong \Delta EFG[/tex]        (SAS congurence postulate)

[tex]\angle B\cong \angle F[/tex]        (CPCTC)

[tex]m\angle B=40^\circ[/tex]

Thus, the correct option is A.

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