Question

Find the value of K. Then find the angle measures of the polygon. ​

Answer 1

`k = 45 \: \: degrees \\ 2k = 90 \: \: degrees`

Explanation:

`45 + 2k + k = 180 \\ 45 + 3k = 180 \\ 3k = 180 - 45 \\ 3k =13 5 \\ (3k)/(3) = (135)/(3) \\ k = 45 \\ 2k = 45 * 2 \\ \: \: \: \: \: \: \: \: = 90`

Answer 2

k = 45

The angles are 45 , 45, 90

Explanation:

The sum of the angles of a triangle are 180

45+ k+2k = 180

Combine like terms

45+3k = 180

Subtract 45 from each side

45+3k-45 = 180-45

3k = 135

Divide by 3

3k/3 = 135/3

k =45

The angles are 45, k,2k

The angles are 45 , 45, 90