Respuesta :

Answer: 35°

Step-by-step explanation:

  • Step #1: Write the 'triangle sum theorem' for the triangle which is:

m∠A + m∠B + m∠C  =  180°

  • Step #2: Substitute the given angle measures

40° + 105° + m∠C = 180°

  • Step #3: Simplify.

m∠C + 145°  =  180°

Subtract 145° from both sides.

m∠C  =  35°

So, the measure of the missing angle (x) is 35°.

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