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Rashid [163]
3 years ago
15

Can someone help me with this?​

Mathematics
1 answer:
12345 [234]3 years ago
3 0

Answer:

∠ A = 72°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°, thus

∠ ECD = 180° - (90 + 54)° = 180° - 144° = 36°

∠ ACB = ∠ ECD = 36° ( vertical angles )

Since AC and BC are congruent then Δ ABC is isosceles, thus the base angles are congruent, that is

∠ A = ∠ B

∠ A = \frac{180-36}{2} = \frac{144}{2} = 72°

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