1. If triangle ABC is congruent to DEF, m angle A =55, and m angle E =25. What is m angle C?
A) 25
B) 55
C) 80
D) 100
Is the answer C?
1.D
2.B sas
3.D 100
4.C
Triangle has total of 180 degrees.
So the answer is D?
1.d 2.b 3.d 4.c
you were right!! ^
Wait nvm lol I think I messed up my math
To determine the measure of angle C, we need to use the fact that triangle ABC is congruent to triangle DEF.
When two triangles are congruent, it means that their corresponding sides and angles are equal.
Given that angle A in triangle ABC is 55 degrees, we can conclude that angle E in triangle DEF is also 55 degrees.
To find angle C, we need to understand that angles A and E are corresponding angles in the congruent triangles. Corresponding angles in congruent triangles are equal.
So, angle C in triangle ABC is also equal to angle F in triangle DEF, which is 55 degrees.
Since all three angles in a triangle add up to 180 degrees, we can conclude that:
angle A + angle B + angle C = 180 degrees
Given that angle A is 55 degrees, we substitute that value:
55 degrees + angle B + 55 degrees = 180 degrees
Simplifying the equation:
110 degrees + angle B = 180 degrees
Subtracting 110 degrees from both sides:
angle B = 70 degrees
Therefore, angle C in triangle ABC is equal to 55 degrees.
So, the correct answer is B) 55 degrees, not C) 80 degrees.