Answer:
x = 14 y = 59
Step-by-step explanation:
the angle (5x - 11) is equal to the angle (3x + 17) and 3x+ 17 is equal to y
5x - 11 = 3x + 17
5x - 3x = 17 + 11
2x = 28
x = 28/2
x = 14
3x+17 = y
3(14) + 17 = y
y = 59
Step-by-step explanation:
Fact 1: Alternate angles are equal.
Angles, (5x-11)° and (3x+17)° are ALTERNATE angles and so,
(5x-11)° = (3x+17)°
5x - 3x = 17 + 11
2x = 28
x = 28 ÷ 2
x = 14
NB: x does NOT have the degree sign because it's NOT an angle on its own, but rather within the bracket/part of the calculation to get the angle degree.
Fact 2: Opposite angles are equal.
Y° and (3x+17)° are OPPOSITE angles
y = (3x+17)°
y = (3x14) + 17
y= 42 + 17
y = 59°
Hope this helps!