# A triangle has a 40 degree angle and a 35 degree angle. What is the measure of the third triangle?

2 answers:

**Answer:**

105

**Step-by-step explanation:**

The sum of the angles of a triangle add to 180 degrees

<1 + <2 + <3 = 180

40 + 35 + <3 = 180

Combine like terms

75+ <3 = 180

Subtract 75 from each side

75-75 + <3 = 180-75

<3 = 105

**Answer:**

105 degrees

**Step-by-step explanation:**

In a triangle, the three interior angles always add to 180°

40 + 35 = 75

180-75 = 105 degrees

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