Answer with Step-by-step explanation:
We are given that A, B and C are subsets of universal set U.
We have to prove that

Proof:
Let x
Then
and 
When
then
but 
Therefore,
but 
Hence, it is true.
Conversely , Let
but 
Then
and
When
then 
Therefor,
Hence, the statement is true.
<u>Part</u><u> </u><u>(</u><u>i</u><u>)</u>
1) AB is perpendicular to BC, ED is perpendicular to CD, BC = CD (given)
2) Angles ABC and CDE are right angles (perpendicular lines form right angles)
3) Angles ABC and CDE are equal (all right angles are equal)
4) Angles ACB and DCE are equal (vertical angles are equal)
5) Triangles ABC and EDC are congruent (ASA)
<u>Part</u><u> </u><u>(</u><u>ii</u><u>)</u>
6) AB = DE (corresponding parts of congruent triangles are equal)
Answer:
150
Step-by-step explanation:
The exterior angle is equal to the sum of the opposite interior angles
<1 + <2 = <3
3x+11 + 3x+19 = 7x+10
Combine like terms
6x+30 = 7x+10
Subtract 6x from each side
6x -6x+30 = 7x-6x+10
30 = x+10
Subtract 10 from each side
30-10 = x+10-10
20 =x
We need to find angle 3
<3 = 7x+10
= 7(20)+10
= 140+10
= 150
8/6 and then m/16 is the correct answer