Answer: The measure of angle J = 15°, measure of angle K =45° and the measure of angle J = 120°.
Step-by-step explanation:
Let the measure of angle J be x.
Then, the measure of angle K will be 3x
and the measure of angle L = 8x
Since the sum of all angles of a triangle is 180 degrees.
Then,
angle J + angle K + angle L = 180 degrees
⇒ x+3x+8x =180
⇒ 12x = 180
⇒x = 15 [divide both sides by 12]
Hence, the measure of angle J = 15°, measure of angle K = 3(15) =45° and the measure of angle J = 8 (15) = 120°.
i.e. the measure of angle J = 15°, measure of angle K =45° and the measure of angle J = 120°.
