Answer with Step-by-step explanation:
1.)
x = 116° (opposite angles are congruent)
y = 180 - 116
y = 64° (consecutive angles are supplementary with sum of 180°)
2.)
y = 40°
(Alternate interior angles are congruent. Here, the diagonal is the transversal while the opposite sides are the parallel segments cut by a transversal)
5x - 13 = 2x + 5
5x - 2x = 5 + 13
3x/3 = 18/3
x = 6
(Opposite sides are congruent.)
3.)
3x - 2= 25
3x = 25 + 2
3x/3 = 27/3
x = 9
(Opposite sides are congruent.)
2y + 1 = 25
2y = 25 - 1
2y/2 = 24/2
y = 12
(Opposite sides are congruent.)
4.)
3y = 39
3y/3 = 39/3
y = 13
(Opposite angles are congruent.)
5x + 1 + 39 = 180
5x + 40 = 180
5x = 180 - 40
5x/5 = 140/5
x = 28
(Consecutive angles are supplementary.)
