Question

A, B and C are the three angles of a triangle. If A+B=145° and B+C=100°, then find the measures of angles A, B, C.​

Answer 1

Answer:-

◉ Sum of All Angles of Triangle is 180°

➟ A + B + C = 180°

➟ 145° + C = 180° [ A + B = 145° ]

➟ C = 180° - 145°

➟ C = 35°

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➟ A + B + C = 180°

➟ A + 100° = 180° [ B + C = 100° ]

➟ A = 180° - 100°

➟ A = 80°

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➟ A + B + C = 180°

➟ 80° + B + 35° = 180°

▣ [ A = 80° and, C = 35° ]

➟ B = 180° - 115°

➟ B = 65°

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Therefore∴Option [ 1 ] is Correct ; 80° , 65° and, 35°.