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Advocard [28]
3 years ago
14

Please help with this question ​

Mathematics
2 answers:
Basile [38]3 years ago
4 0

Step-by-step explanation:

m< AOC = 90°

m< AOB +m<BOC = 90°

6x-12+3x +30 = 90°

9x +18° = 90°

9x = 90- 18° = 72°

x = 8°

m<AOB =6(8)-12 = 48-12 = 36°

aksik [14]3 years ago
3 0

Since, OA is perpendicular to OC

m\angle A OC= 90 \degree \\  m\angle AOB \:  + m\angle BOC = 90 \degree \\ (6x - 12) \degree + (3x + 30) \degree = 90 \degree \\ 6x + 3x + 30 - 12 = 90 \degree \\ 9 x + 18 = 90 \\ 9x = 90 - 18 \\ 9x = 72 \\ x =  \frac{72}{9}  \\ x = 8 \degree

m\angle \: AOB = 6x - 12 \\  m\angle \: AOB = 6(8) - 12 \\ m\angle \: AOB = 48 - 12 \\ m\angle \: AOB = 36 \degree

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