Answer:
7. x = 38°
8. y = 65°
9. 261° and 81°
Explanation:
Finding x:
You can make an equality with (2x +5) and (3x +33) because the value of these angles are the same, so:
2x +5 = 3x -33
2x - 3x = -33 -5
-x = -38
x = 38°
Finding y:
You can find the value of y making another equally, but this time you have to sum (4y -1) with (3x - 33) or (2x +5) and equal it with 180°:
(4y -1)+(2x +5) = 180
4y -1 +2x +5 = 180
4y +2x +4 = 180
We know from the question 7 that x is 38°:
4y +2•(38) +4 = 180
4y - 76 +4 = 180
4y - 80 = 180
4y = 180 + 80
4y = 260
y = 260/4
y = 65
Finding the value of the angles:
You just have to put the value of x and y in their places and make the calculations:
4•65 +1 = 261°
3•(38) -33 = 81°