Answer:
First one is 60.4 degrees
Step-by-step explanation:
Since side BE crosses through parallel lines, it forms a transversal. The Alternate Interior Angles Theorem states that angles on opposite, alternating sides of the line cutting through are equal. This means that 110.2 and 34.8 plus an unknown angle are equal. 110.2-34.8 = 75.4, meaning that angle GBE is 75.4 degrees. Back on the side near angle BEG, since they are a line, 110.2 plus 25.6 plus an unknown angle (angle BEG) must equal 180 degrees. 110.2 plus 25.6 = 135.8 degrees, so 180-135.8=44.2 degrees. Angle BEG is 44.2 degrees. The interior angles of a triangle must add up to 180 degrees and we know that two of them are 44.2 degrees and 75.4 degrees. To find the other one, we add up the other two and subtract that from 180; 44.2+75.4 = 119.6. 180-119.6 = 60.4, giving our answer to angle x's value.
