Question

Two angles form a linear pair. The measure of one angle is 13 the measure of the other angle. Find the measure of each angle.

Answer 1

Your question is not complete so there are two answers:

1.

The measure of one angle is 13 times the measure of the other angle.

Answer:

        One angle is 167.14° and the other is 12.86°

Step-by-step explanation:

Two angles of a linear pair create a straight angle therefore they add to 180°

x°     - the other angle

(13x)°  - one angle

x + 13x = 180

   14x = 180

  ÷14      ÷14

   x ≈ 12.86

13x = 13•12.86 = 167.14

Checking:  12.96+167.14 = 180

2.

The measure of one angle is 13 more than the measure of the other angle.

Answer:

        One angle is 96.5° and the other is 83.5°

Step-by-step explanation:

Two angles of a linear pair create a straight angle therefore they add to 180°

x°     - the other angle

(x+13)°  - one angle

x + x + 13 = 180

       -13        -13

    2x  =  167

    ÷14      ÷14

     x ≈ 83.5

x+13 = 83.5 + 13 = 96.5

Checking:  83.5+96.5 = 180