How do you find the measure of the missing angle in the triangle 10+105+x=180^circ?

Original wording:

How do you find the measure of the missing angle in the triangle 10+105+x+180^circ?

1 Answer
Jul 9, 2017

If you mean 10+105+x=180, then x, the missing angle, is 65^o.

Explanation:

The way the question is written is confusing since all the operators are plus signs.

PRESUMING (and this is my presumption which, if wrong, will make the answer irrelevant) that the last plus sign was meant to be an equal to sign, it means that we know two angles of the triangle to be 10^o and 105^o. Since the three angles of a triangle add up to 180^o, we can write:

10+105+x=180

115+x=180

Subtract 115 from each side.

115-115+x=180-115

x=65

The unknown angle, x, is 65^o.