Question

What is the value of k?
k = 28
k = 29
k = 31
k = 42

Answer 1

k = 29

Explanation:

(5k -3) + (9+k) = 180

5k-3+9+k = 180

6k + 6 = 180

6k = 180 - 6 = 174

k = 29

Answer 2

The value of k is:

k = 29

Explanation:

We know that when two angles lie on a straight line then the sum of the two angles is equal to 180 degree.

Here we have two angles on a straight line as:

first angle = (5k-3)°

and second angle= (9+k)°

Hence, we have:

(5k-3)°+(9+k)°=180°

i.e.

5k-3+9+k=180

on combining the like terms on the left hand side of the equation we have:

5k+k+9-3=180

6k+6=180

6k=180-6

6k=174

i.e.

k=174/6

i.e.

k=29