Quiz (1 point)
Given that:
△XYZ is an equilateral triangle
Prove that:
m∠XYZ = 60
The following properties may be helpful:
- ((m∠YWX) + (m∠WXY)) + (m∠XYW) = 180
- (a + a) + a = a ⋅ 3
- 180 / 3 = 60
- if △XYZ is an equilateral triangle, then m∠XYZ = m∠YZX
- if △XYZ is an equilateral triangle, then m∠YZX = m∠ZXY
if the following are true:
- a = b
- b = c
then a = c
if the following are true:
- a + b = c
- d = b
then a + d = c
if a = b, then c + b = c + a
if the following are true:
- a + b = c
- a = d
then d + b = c
if the following are true:
- a = b
- a = c
then b = c
if a ⋅ b = c, then a = c / b
if the following are true:
- a = b
- b = c
then a = c
Please write your proof in the table below. Each row should contain one claim. The last claim is the statement that you are trying to prove.