Question

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Answer 1

∠ A = 31.3°, ∠ C = 58.7°

Explanation:

Using the sine ratio in the right triangle

sin A =
`(opposite)/(hypotenuse)` =
`(BC)/(AC)` =
`(13)/(25)` , thus

∠ A =
`sin^(-1)` (
`(13)/(25)` ) ≈ 31.3° ( to the nearest tenth )

The sum of the 3 angles in a triangle = 180° , thus

∠ C = 180° - (90 + 31.3)° = 180° - 121.3° = 58.7°