The Triangle Angle Sum Theorem states that the sum of the three interior angles of a triangle is always 180°.
Let's denote the measure of the third angle as x.
Therefore, the sum of the three angles is equal to 40° + 65° + x°.
According to the Triangle Angle Sum Theorem, this sum must equal 180°. So we can write the equation:
40° + 65° + x° = 180°
Combining like terms on the left side of the equation, we have:
105° + x° = 180°
Now, subtracting 105° from both sides of the equation, we get:
x° = 180° - 105°
x° = 75°
Therefore, the measure of the third angle is 75°.
A triangle has two angles measuring 40° and 65°. Use the Triangle Angle Sum Theorum to find the measure of the third angle.
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