Question

measurement and geometry continued

1. determine the values of angles \\(x\\) and \\(y\\).

algebra - solving equations
solve each of the following equations. leave answers as fractions, reduced to lowest terms, where applicable.
a) \\(3x - 5 = 22\\)
b) \\(2(x + 3) = 5x + 9\\)
c) \\(\frac{x - 1}{2} = \frac{x - 5}{3}\\)

Explanation:

Calculate regular pentagon interior and exterior angles

$$
LATEXBLOCK0
$$

Solve equation a

$$
LATEXBLOCK1
$$

Solve equation b

$$
LATEXBLOCK2
$$

Solve equation c

$$
LATEXBLOCK3
$$

Answer:

Question 1

\(x = 72^\circ\), \(y = 108^\circ\)

Question 2

\(x = 9\)

Question 3

\(x = -1\)

Question 4

\(x = -\frac{1}{3}\)