Answer: The answer to this math question about solving for the value of k with the given full of the angles is k = 6.
Step-by-step explanation: As always to remember, all of the forming angles to a straight line with a sum of 180 degrees, so anyways, here are 6 steps in order to solve for the value of k:
Step 1. First, let's find the measures of the value of all 3 angles, the measures of all 3 angles are, 8°, 90°, and 40° that looks in the equation form like this: [tex]7k + 8 + 90 + 40 = 180.[/tex]
Step 2. Next, after finding the measures of the value of all 3 angles, it's time to add all 3 angles up together that looks in the equation form like this: [tex]7k + 138 = 180.[/tex]
Step 3. Then, let's move positive 138 to the right side so you got negative 138, and keep the positive 180 the same when moving to the left side that looks in the equation form like this: [tex]7k = 180 - 138.[/tex]
Step 4. In addition to that, after moving positive 138 to the right side so you got negative 138, and keep the positive 180 the same when moving to the left side, it's time to subtract 138 degrees and 180 degrees that looks in the equation form like this: [tex]7k = 42.[/tex]
Step 5. Now last but not least is finally, after subtracting 138 degrees and 180 degrees, it's time to divide the both sides by 7 that looks in the equation form like this: [tex]\frac{7k}{7}=\frac{42}{7}.[/tex]
Step 6. Hence the value of k is 6.
I hope that my full given answer with my full given step-by-step explanation is very helpful to your own math question about solving for the value of k with the given full of the angles, please mark me as Brainliest, take care, always be safe, and have a great rest of the day and a great weekend! :D
Sincerely,
Jason Ta,
The Ambitious of The Brainly And The Role of The TDSB And WHCI Student of The High School.
