Question

New lab
ANGLES AND PAIRS OF ANGLES
01) in the given figure, find x
6x-60°
I
2x + 40"
3x-80°
02) Find the measure of the angles x and y in the given figure,
45
D
oxy
63
X х
A​

Answer 1

Answer:

1. Use the Angle Sum Property to find the value of x.

Angle A + Angle B + Angle C = 180°

5x - 60° + 2x +40° + 3x - 80° = 180°

10x - 20 = 180

10x = 160

x = 160/10

x = 16

2.angle COD and and angle AOB are vertically opposite angles

So, COD = AOB = 45°

Now using angle sum property in triangle OAB find the x angle.

Angle A + Angle B + Angle O = 180°

63 + x + 45 = 180

108 + x = 180

x = 180 -108

x = 72°

For y

Angle AOB + Angle DOB = 180° (adjacent angles )

45 + y = 180

y = 135°

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