Answer :
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:
[tex]\angle 1 = x + 34\\\angle 2 = 2x + 2[/tex]
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:
[tex](x + 34) + (2x + 2) = 180\\3x + 36 = 180\\3x = 180-36\\3x = 144\\x = 48[/tex]
Thus, the angles are
[tex]\angle 1 = \angle 3 = 48 + 34 = 82^\circ\\\angle 2 = \angle 2 = 2(48) + 2 = 98^\circ\\[/tex]
Thus, the four angles are 82 degrees, 98 degrees, 82 degrees and 98 degrees.