Given: m ∠3 = m ∠4
To Prove: ∠1, ∠2 are supplementary .
Proof : m ∠3 = m ∠4 ( Given) ------------(1)
m<2 + m< 3 = 180 degrees ( <2 and <3 form a linear pair). ----------(2)
m< 4 = m<1 (Vertical angles are equal) -----------(3).
Substituting, m<4 =m<1 in (1), we get
m ∠3 = m ∠1.
Now, substituting m ∠3 = m ∠1 in (2), we get
m<2 + m< 1 = 180 degrees.
Sum of m <1 and m<2 is 180 degrees.
Therefore,<em> ∠1, ∠2 are supplementary by the defination of supplementary angles.</em>
Answer:
x≥1 or x≤−3
Step-by-step explanation:
x+1≥2 possibility 1
x+1−1≥2−1 Subtract 1 from both sides
x≥1
x+1≤−2 Possibility 2
x+1−1≤−2−1 Subtract 1 from both sides
x≤−3
Answer: n=p/2-m
Step-by-step explanation:
m=p/2-n (1)
Add n to both sides of the equation (1)
m+n=p/2-n+n => m+n=p/2 (2)
Subtract m from both sides of the equation (2)
m-m+n=p/2-m => n=p/2-m
Answer:
13ft
Step-by-step explanation:
12in = 1ft the difference in height is 13ft
