Question
A triangle has two angles measuring 40° and 65° . Use the Triangle Angle Sum Theorem to find the measure of the third angle A triangle has two angles measuring 40° and 65° . Use the Triangle Angle Sum Theorem to find the measure of the third angl
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GPT 3.5
The Triangle Angle Sum Theorem states that the sum of the angles in a triangle is always 180°.
Let x be the measure of the third angle.
According to the Triangle Angle Sum Theorem, we can write the equation:
40° + 65° + x = 180°
Simplifying the equation:
105° + x = 180°
To find the measure of the third angle, we need to isolate x. We can do this by subtracting 105° from both sides of the equation:
x = 180° - 105°
x = 75°
Therefore, the measure of the third angle is 75°.
Let x be the measure of the third angle.
According to the Triangle Angle Sum Theorem, we can write the equation:
40° + 65° + x = 180°
Simplifying the equation:
105° + x = 180°
To find the measure of the third angle, we need to isolate x. We can do this by subtracting 105° from both sides of the equation:
x = 180° - 105°
x = 75°
Therefore, the measure of the third angle is 75°.