If triangle ABC cong triangle DEF , m angle A = 55 deg , and m angle E = 25 deg , what is m angle C ?
(1 point)
A. 25°
D.> 55°
C.80°
D.100°
Since triangle ABC is congruent to triangle DEF, the corresponding angles are equal. Given that angle A is 55° and angle E is 25°, angle C must be equal to angle F. Therefore, angle C is also 25°.
Answer: A. 25°
To find the measure of angle C, we need to use the given information that triangle ABC is congruent to triangle DEF.
Since triangle ABC is congruent to triangle DEF, angles A and E are corresponding angles. Therefore, m angle C will be equal to m angle F.
Given that m angle A is 55° and m angle E is 25°, we can determine the measure of m angle C:
m angle C = m angle F = m angle A - m angle E
m angle C = 55° - 25°
m angle C = 30°
Therefore, the measure of angle C is 30°.
So, the correct answer is:
C. 30°
To find the measure of angle C in triangle ABC, given that triangle ABC is congruent to triangle DEF, and that angle A measures 55 degrees while angle E measures 25 degrees, we can use the properties of congruent triangles.
When two triangles are congruent, it means that their corresponding sides and angles are equal. So, if triangle ABC is congruent to triangle DEF, it implies that angle A is equal to angle D, angle B is equal to angle E, and angle C is equal to angle F.
Given that angle A measures 55 degrees and angle E measures 25 degrees, we can conclude that angle D also measures 55 degrees since angle A is congruent to angle D, and angle F measures 25 degrees since angle E is congruent to angle F.
Therefore, the measure of angle C is equal to the measure of angle F, which is 25 degrees.
Hence, the answer is A. 25°.