What is the value of K

K = 5

Step-by-step explanation:

The missing angle is 90º since its is a right angle,the other angle (49º) add 90º is 139º,now remember that.

The line,will be 180º(You’ve prob learnt that).Then 180º - 139º to find the missing number!

The answer is 41º.

8º x k+ 1 = 41?

8º x 5 = 40, + 1 is 41!

So K is 5!

p.s If a number is beside another like 8k that means 8 x k!

Hope this helped!

Have a great day

k = 5

Step-by-step explanation:

Given the three angles:

m < (8k + 1)°

m < 90° (assumed that it is a right angle, given the small square by its vertex).

m < 49°

We could simply take the sum of the given angles' measures to solve for the value of k:

(8k + 1)° + 90° + 49° = 180°

Combine the constants:

8k °+ 140° = 180°

Subtract 140° from both sides:      

8k° + 140° - 140°  = 180° - 140°

8k° = 40°

Divide both sides by 8 to solve for k:

8k°/8° = 40°/8°

k = 5

Verify that we have the correct value for k by substituting 5 into the equation:

(8k + 1)° + 90° + 49° = 180°

[8(5) + 1]° + 90° + 49° = 180°

41° + 90° + 49° = 180°

180° = 180°

Therefore, the correct answer is: k = 5.

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