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What is the value of p? Please provide an explanation, thanks!

What is the value of p? Please provide an explanation, thanks!-example-1
User Jmaurier
by
7.5k points

1 Answer

4 votes

Answer:


p=39.4°

Explanation:


4a+4+75+p=180 (The sum of angles on a triangle is
180°)
4a+p=180-4-75


4a+p=101


p+9a+2=180 (Angles of a straight line sums to
180°)


p + 9a = 178

Elimination can be used to find the value of one variable:


p+9a-(4a+p)=178-101


5a = 77


a=15.4

Now, the value of
p can be found by using substitution:


4a+p = 101


4(15.4)+p=101


p = 101-61.6


p = 39.4

I hope this helps :)

User Tmucha
by
8.1k points

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