Ask Question
14 May, 11:21

Two lines intersect to form a linear pair with equal measures. One angle has the measure 3x° and the other angle has the measure (8y - 70) °. Find the values of x and y.

+2
Answers (1)
  1. 14 May, 11:26
    0
    The sum of a linear pair of angles is 180 degrees.

    Now, we are given two pieces of information. We will use these to develop equations and then solve the equations simultaneously.

    First, we know that the two angles are equal, therefore:

    3x = 8y-70 ... > equation 1

    Second, we know that the two angles form a linear pair of angles, therefore:

    3x+8y-70 = 180 ... > equation 2

    Substitute by equation 1 in equation 2:

    3x+3x = 180

    6x = 180

    x = 30

    Substitute with the value of x in equation 1 to get y as follows:

    3x = 8y-70

    3 (30) + 70 = 8y

    160 = 8y

    y = 20

    Therefore:

    the first angle = 3x = 3 (30) = 90 degrees

    the second angle = 8 (20) - 70 = 90 degrees

    You can notice that the two angles are equal and their sum is 180 as mentioned previously.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “Two lines intersect to form a linear pair with equal measures. One angle has the measure 3x° and the other angle has the measure (8y - 70) ...” 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