Question

The help would be much appreciated, but could someone help me with this?

http://imgur.com/38cysnc
http://imgur.com/fHv8TWT

a. m angle 1 = m angle 2 | Reason: Given
b. angle 1 is supplementary to angle 2. | Reason:
c. m angle 1 + m angle 2 = 180 degrees | Reason:
d. m angle 1 + m angle 2 = 180 degrees |
2 * (m angle 1) = 180 degrees | Reason:
e. m angle 1 = 90 degrees | Reason:
f. angle 1 is a right angle. | Reason:
g. Therefore, Line Segment AC is perpendicular to Line Segment BD. | Reason:
@iGreen

Answer 1

hey is botchcake96 on

Answer 2

botchcakes96 sorry typo

Answer 3

Provide the reasons for the proof.
Given: m angle 1 = m angle 2
Prove: (line over)AC(up-side down T)(line over)BD

Statements:
a. m angle 1 = m angle 2
b. Angle 1 is supplementary to angle 2
c. m angle 1 + m angle 2= 180 degrees
d. m angle 1 + m angle 2 +180 degrees
2(m angle 1)= 180 degrees
e. m angle 1 = 90 degrees
f. angle 1 is a right angle
g. .:.(line over)AC(up-side down T)(line over)BD

Reasons:
a. given
b. ?
c. ?
d. ?
e. ?
f. ?
g. ?




By now you should definitely know that an "upside-down T" is the symbol for "perpendicular" so you should write your question something like "Prove that AC is perpendicular to BD."



Also, we don't have a diagram of the question so we can't really answer it without making some extremely risky assumption.

Answer 4

there you go problem solved

Answer 5

Hang on, I'll put up the chart.

Answer 6

Alright, that should be a little clearer.

Answer 7

Statements Reasons
a. m <1 = m <2 Given
b. <1 is supplementary to <2 Linear Pair
c. m <1 + m <2= 180 degrees Supplementary angles add to 180 degrees
d. m <1 + m <2 +180 degrees
2(m <1)= 180 degrees m<2 = m<1 substitution
e. m <1 = 90 degrees Dividing both sides of d) by 2 and solving for m<1
f. <1 is a right angle Definition of a right angle (80 degrees)
g. AC is perpendicular to BD Definition of perpendicular line (makes 90 degrees)

Answer 8

Thank you so much dude, that's originally what I had, but I second guessed. Thanks man!

Answer 9

yw.