2014-05-30 09:00:16

In Triangle JKL, angle J is obtuse, and angle L measures 26°. If the measure of angle K is an integer equal to x°, what is the maximum possible value of x?


The correct answer is 63
Explanation: To find the maximum value of the measure of angle K, start by finding the minimum values of the other angles. Angle L is 26°, and angle J is obtuse, meaning it must be larger than 90°. Since x, which is the measure of angle K, must be an integer, it follows that J's measure must also be an integer value. The minimum value angle J could measure, then, is 91°. The interior angles of a triangle must sum to 180°, so the maximum value of x will be 180° - 91° - 26°, or 63°. x must be less than or equal to 63.