loeisenhardtj38
loeisenhardtj38 loeisenhardtj38
  • 17-03-2022
  • Mathematics
contestada

If triangle ABC is congruent to triangle DEF, m angle-A = 50°, and m angle-E = 30°, what is m angle-C?

If triangle ABC is congruent to triangle DEF m angleA 50 and m angleE 30 what is m angleC class=

Respuesta :

semsee45
semsee45 semsee45
  • 17-03-2022

Answer:

C. 100°

Step-by-step explanation:

If ΔABC ≅ ΔDEF then

  • m∠A = m∠D = 50°
  • m∠B = m∠E = 30°
  • m∠C = m∠F

The sum of the interior angles of a triangle is 180°

Therefore, m∠A + m∠B + m∠C = 180°

⇒ 50° + 30° + m∠C = 180°

⇒ 80° + m∠C = 180°

⇒ m∠C = 180° - 80°

⇒ m∠C = 100°

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