Question

in triangle ABC, angle a - angle 3=35°, and angle b - angle c = 20°. find angle a, angle b , angle c​

Answer 1

Answer:

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Answer 2

Answer:

as per your given information

angle A = 230/3; angle B = 185/3; angle C = 125/3

Step-by-step explanation:

given: angle a - angle 3=35° and angle b - angle c = 20°

(angle A - angle C) + (angle B - angle C) = 35 + 20

⇒ angle A - angle C + angle B - angle C = 55

⇒ angle A + angle B - 2 angle C = 55

⇒ angle A + angle B = 55 + 2 angle C

angle A + angle B + angle C = 180 (angle sum property)

⇒ 55 + 2 angle C + angle C = 180

⇒ 3 angle C = 125

⇒ angle C = 125/3

angle A - angle C = 35

⇒ angle A = 35 + 125/3

⇒ angle A = 230/3

angle B - angle C = 20

⇒ angle B = 20 + 125/3

⇒ angle B = 185/3