Question

What is the value of x? Two lines that intersect forming 4 angles. Two of the adjacent angles have measures of X plus 34 degrees and 2 X plus 2 degrees.

Answer 1

Answer:

The four angles are 82 degrees, 98 degrees, 82 degrees and 98 degrees.      

Step-by-step explanation:

We are given the following in the question:

Measure of two adjacent angles are:

$\angle 1 = x + 34\\\angle 2 = 2x + 2$

Since the two angles are adjacent, the sum of the angles will be 180 degrees as they form a straight angle.

Thus, we can write:

$(x + 34) + (2x + 2) = 180\\3x + 36 = 180\\3x = 180-36\\3x = 144\\x = 48$

Thus, the angles are

$\angle 1 = \angle 3 = 48 + 34 = 82^\circ\\\angle 2 = \angle 2 = 2(48) + 2 = 98^\circ$

Thus, the four angles are 82 degrees, 98 degrees, 82 degrees and 98 degrees.