The Triangle Angle Sum Theorem states that the sum of the measures of the three angles in a triangle is always 180°.
Let's represent the three angles as a, b, and c.
Given that a = 63° and b = 40°, we need to find c.
Using the Triangle Angle Sum Theorem, we can write:
a + b + c = 180°
Substituting the given values, we get:
63° + 40° + c = 180°
Combining like terms:
103° + c = 180°
To isolate c, we can subtract 103° from both sides:
c = 180° - 103°
Simplifying the right side:
c = 77°
Therefore, the measure of the third angle is 77°.
Use the Triangle Angle Sum Theorem to find the measure of the third angle if the first and second angle measure 63° and 40°
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