Question

Solve question 4 and 5 both with process.

15 points

Answer 1

ʜᴇʟʟᴏ ᴍᴀᴛᴇ!

4. As vertically opposite ansgles are equal so, let each angle be x

x + x = 96°

2x = 96°

x = 96°/2 or 48°



5. When OB is perpendicular to OA then

/_ AOB = 90°

/_ AOB = /_ BOC + /_ AOC

90° = 50° + /_ AOC

40° = /_ AOC

Now,

/_ AOC + /_ AOD = 180° [ Linear Pair ]

/_ AOD = 180° - 40°

/_ AOD = 140°

Hope it helps

Answer 2

Question 4

Opposite angles are the same so each of the angles are:

96° ÷ 2 = 48°

Question 5

Find the angle of COA first:

90° - 50° = 40°

Since COD is a straight line, the angles on it are equal to 180°.

∠AOD + 40° = 180°

∠AOD = 140°