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Find x° y° z° ( p + 10 ° ) ,p° ( p + 20 °)​

Find x° y° z° ( p + 10 ° ) ,p° ( p + 20 °)​-example-1

1 Answer

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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°

User Jesper Blaase
by
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