Find the value of x in each case. give reasons to justify your solutions! n ∈ ko

x =30°

Step-by-step explanation:

Step 1:  To find .

Given N ∈ KO, where KO is a line.

Sum of the adjacent angles in a straight line is 180°.

Step 2:  To find .

Sum of the adjacent angles in a straight line is 180°.

Given

Step 3:  To find x.

Sum of the interior angles in a triangle is 180°.

Let us take the triangle NLK.

⇒ 30° + 90° + 2x = 180°

⇒ 2x = 180° – 30° – 90°

⇒ 2x = 60°

⇒ x = 30°

Hence, x = 30°.

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation: