Question

The measures of two angles of a triangle are 52 and 89. What is the measure of the third angle?

Answer 1

`39^@`

Explanation:

The sum of all angles of a triangle is always `180^@` regardless of its type.
Let the missing angle be `x`.
Then, `52^@ + 89^@ + x^@ = 180^@`
Subtracting `52^@` and `89^@` from both sides,
`=> x^@ = 180^@ - 89^@ - 52^@ = 180^@ - 141^@ = 39^@`
`:.`The missing angle is `39^@`.