Ask Question
18 August, 22:52

In triangle JKL, If angle L is thirteen more than angle K and angle J is seven times more than six times angle K, find the measure of each angle.

+4
Answers (1)
  1. 18 August, 23:00
    0
    Refer to the diagram shown below.

    Let

    x = m∠J

    y = m∠K

    z = m∠L

    Angle L is thirteen more than angle K, therefore

    z = y + 13 (1)

    Angle J is seven times more than six times angle K, therefore

    x = 7 (6y) = 42y (2)

    The sum of the angles in the triangle is 180°, therefore

    x + y + z = 180 (3)

    Substitute (1) and (2) into (3).

    42y + y + (y + 13) = 180

    44y + 13 = 180

    44y = 167

    y = 3.8°

    x = 42y = 159.4°

    z = y + 13 = 16.8°

    Answer:

    m∠J = 159.4°

    m∠K = 3.8°

    m∠L = 16.8°
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “In triangle JKL, If angle L is thirteen more than angle K and angle J is seven times more than six times angle K, find the measure of each ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers