Question 1 Given an equilateral triangle, what is the value of x?

-- Answer -- 4

Equilateral triangles have equal sides and equal angles

Therefore, 2 is halfway to x, x = 4

Question 2 Given an equilateral triangle, what is the value of y based on the given lengths of each side?

-- Answer -- x = 5

Equilateral triangles have equal sides, so 3x + 1 = 5x - 9

3x + 1 = 5x - 9 => 1 = 2x - 9 => 10 = 2x => x = 5

Question 3 Per the figure below, given PQ = PR, what is angle Q?

-- Answer -- 72°

Since PQ = PR, angle R = angle P

Angle R = 54°

Angle Q = 180 °- 54° - 54° =

Question 4 What cannot be the measure of an angle in an acute triangle: 1) 30°, 2) 80°, 3) 120°?

-- Answer -- 120°

120° cannot be a measure of any angle in an acute triangle