Question

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Answer 1

Answer:

ADC = 80°, ABC = 40°, BAC = 90°

Step-by-step explanation:

ACD = 180° - 130° = 50°

Since AD = CD, DAC = ACD = 50°

Therefore,

ADC + DAC + ACD = 180°

ADC + 50° + 50° = 180°

ADC = 80°

By external angle property,

ABD + BAD = ADC

Since AD = BD, ABD = BAD = x

Therefore, x + x = 80°

2x = 80°

x = 40°

Hence, ABD = ABC = 40°

BAC = BAD + DAC

BAC = 40° + 50°

BAC = 90°