Applying the triangle sum theorem, we have:
k = 45°
2k = 45°
How to Apply the Triangle Sum Theorem?
The triangle sum theorem holds that the sum of the measures of all the interior angles of a triangle is equal to 180 degrees.
Therefore, applying the triangle sum theorem, we would have the following equation:
2k° + k° + 45° = 180°
Combine like terms
3k° + 45° = 180°
Subtract 45° from each side of the equation
3k° + 45° - 45° = 180° - 45°
3k° = 135°
Divide both sides by 3
3k/3 = 135/3
k = 45
Find the measure of the angles by plugging in the value of k
k° = 45°
2k° = 2(45) = 90°
Therefore, applying the triangle sum theorem, we have:
k = 45°
2k = 45°
Learn more about the triangle sum theorem on:
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