Question

in triangle ABC,<BAC - <BCA=35°and <BAC=85°.what are the values of<ABC and<BCA respectively.​

Answer 1

Answer : ∠ ABC = 45°

And ∠BCA = 50°

Step-by-step explanation:

In a given triangle ΔABC,

∠BAC - ∠BCA = 35°. ( given )

85° - ∠BCA = 35°. ( ∠BAC = 85°----given )

∴ ∠ BCA = 85° - 35°

∴ ∠BCA = 50°

Sum of all the angles of Triangle is 180°

∠BAC + ∠BCA + ∠ABC = 180°

∴ 85° + 50° + ∠ABC = 180°

∴ 135° + ∠ ABC = 180°

∴ ∠ABC = 180° - 135°

∴ ∠ABC = 45°

Therefore ∠ABC = 45° and ∠ BCA = 50°