First we use the Additive Property of Equality to claim that:
a + 90 + -90 = 180 + -90
Then we show that:
- left side reduces to a.
- right side reduces to 90.
Quiz (1 point)
Given that:
a + 90 = 180
Prove that:
a = 90
The following properties may be helpful:
- 90 + (-90) = 0
- (a + b) + c = a + (b + c)
- a + 0 = a
- 180 + (-90) = 90
if a = b, then a + c = b + c
if 90 + (-90) = 0, then a + (90 + (-90)) = a + 0
if the following are true:
- a = b
- b = c
then a = c
if the following are true:
- a = b
- b = c
then a = c
if the following are true:
- a = b
- a = c
- b = d
then c = d
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.