Answered

Triangle ABC is reflected across line n to create A'B'C'.
C
57
59°
A
61
67
B
B
n
А
What is the measure of

Triangle ABC Is Reflected Across Line N To Create ABC C 57 59 A 61 67 B B N А What Is The Measure Of class=

Answer :

Answer:

Angle C is 54 degrees

Step-by-step explanation:

Angle B is 67 degrees and Angle A is 59 degrees. You add those two together to get 126 and subtract that from 180 to get the measure of Angle C

AKPOSEVICTORGO

The measure of angle C is 54°.

From the diagram given, triangle A'B'C is a reflection of triangle ABC, therefore, triangle A'B'C' is similar to triangle ABC.

  • This implies that:

angle A = angle A' = 59°

angle B = angle B' = 67°

angle C = angle C' = ?

  • Therefore,

angle C = 180 - (angle A + angle B) ---> Sum of angles in a triangle equals 180°.

  • Plug in the values

angle C = [tex]180 - (59 + 67)\\[/tex]

angle C = 54°

Therefore, the measure of angle C is 54°.

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