#

Q. Find the Complement of the following angles
- 67
- 49
- 35

Q. find the supplement of the following
- 126
- 38
- 100

Q. frame three equation for the solution x = 5.

Q. Write the equations for the following statements:
- The sum of number and 3 is 10.
- 12 subtracted from a number is 23.
- 5 times a number subtracted from 2 is 12.

7)Find the probability of the following events

a) Getting a head when a coin is tossed, P(H)

b) Getting a red bead from a packet containing 3 blue and 7 yellow beads, P(R).

c) Selecting a girl from a group of 15 girls and 15 boys. P(G).

8) Find the perimeter of the following

a) a rectangle ABCD in which AB = 15 cm and BC = 8 cm

b) a square PQRS in which PQ = 17 cm.

c) an equilateral triangle XYZ in which XY = 7.5 cm.

$SectionC\phantom{\rule{0ex}{0ex}}1.a)67\xb0\phantom{\rule{0ex}{0ex}}Lettheotheranglebe\text{'}x\text{'}\phantom{\rule{0ex}{0ex}}\therefore x+67\xb0=90\xb0--[sumofcomplementaryanglesis90\xb0]\phantom{\rule{0ex}{0ex}}\Rightarrow x=90\xb0-67\xb0\phantom{\rule{0ex}{0ex}}\Rightarrow x=23\xb0\phantom{\rule{0ex}{0ex}}2.a)126\xb0\phantom{\rule{0ex}{0ex}}Lettheotheranglebe\text{'}x\text{'}\phantom{\rule{0ex}{0ex}}\therefore x+126\xb0=180\xb0--[sumofsuplementaryanglesis180\xb0]\phantom{\rule{0ex}{0ex}}\Rightarrow x=180\xb0-126\xb0\phantom{\rule{0ex}{0ex}}\Rightarrow x=54\xb0$

Regards

**
**