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(i) <CAB = 180° - 120° (as <MAC + <CAB form a linear pair)
→ <CAB = 60°
(ii) <ABC = 180° - 130° (as <MBN + <ABC form a linear pair)
→ <ABC = 50°
(iii) <ACB = 180° - (60 + 50)° (as <CAB + <ABC + <ACB = 180° according to Angle sum property of triangles)
→ <ABC = 180° - 110°
→ <ACB = 70°
(iv) <BCD = 180° - 70° (as <ACB + <BCD form a linear pair)
→ <BCD = 110°
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Step-by-step explanation:
(i) <CAB = 180° - 120° (as <MAC + <CAB form a linear pair)
→<CAB = 60°
(ii) <ABC = 180° - 130° (as <MBN + <ABC form a linear pair)
→ <ABC = 50°
(iii) <ACB = 180° - (60 + 50)° (as <CAB + <ABC + <ACB = 180° according to Angle sum property of triangles)
ANSWER
→ <ABC = 180° - 110°
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