If I’m OK is nine more than angle J and angle L is 21 less than twice angle J find the measure of each angle

Answer 1

If "I’m OK" was supposed to be "angle K" and if these 3 angles

are supposed to be in a triangle, then we have the following:

First, my angle notation is as follows: m/_J means the measure of angle J. Second, m/_J + m/_K + m/_L = 180°, since the angles of any triangle sum to 180°. Third, as given, m/_K = 9° + m/_J and m/_L = 2 * m/_J - 21°.

Therefore, by substituting the 2nd and 3rd equations into the 1st one, we get:

m/_J + (9° + m/_J) + (2 * m/_J - 21°) = 4 m/_J + 9° - 21° = 4 m/_J - 12° = 180°

4 m/_J = 192° ---> m/_J = 192° / 4 ---> m/_J = 48°. Then, by plugging in the value we just got for m/_J into equations 2 and 3, we get the following:

m/_K = 9° + 48° = 57° and m/_L = 2 * 48° - 21° = 96° - 21° = 75°.