Answer:
x° = 50°
y° = 70°
z° = 60°
p° = 50°
(p + 10)° = 60°
(p + 20)° =70°
Explanation:
Angles with measurements (p + 20), p and (p + 10) degrees are all on the same line. Therefore these three angles are supplementary angles. In other words the sum of these angles = 180°
Plugging in the expressions for these angles we get
(p + 20 ) + p + (p + 10) = 180°
3p + 30 = 180
Subtracting 150 from both sides,
3p = 180 - 30 = 150
p = 150/3 = 50
x is a vertically opposite angle to p.
Therefor x = p = 50°
y is vertically opposite and equal to p + 20
y = p + 20 = 50 + 20 = 70°
z is vertically opposite and equal to p + 10
z = p + 10 = 50 + 10 = 60°