aaivy0807
aaivy0807 aaivy0807
  • 13-05-2022
  • Mathematics
contestada

Can someone please help me with this please and thankyou

Can someone please help me with this please and thankyou class=

Respuesta :

semsee45
semsee45 semsee45
  • 13-05-2022

Answer:

∠ABC = 55°

Step-by-step explanation:

Alternate Interior Angles Theorem

If a line (AC) intersects a set of parallel lines (m and n) in the same plane at two distinct points, the alternate interior angles that are formed are congruent.

⇒  ∠BAC = ∠DCA

⇒  ∠BAC = 50°

The interior angles of a triangle sum to 180°

⇒ ∠BCA + ∠BAC+ ∠ABC = 180

⇒ 75 + 50 + ∠ABC = 180

⇒ ∠ABC = 180 - 75 - 50

⇒ ∠ABC = 55°

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