Find the value of angles x y z in each of the following figures

1.	Find the value of angles x y z in each of the following figures
Answer» Answer: 3z = 81° 2z = 54° x = 45° y = 135° Step-by-step explanation: 3z + 2z + 45° = 180° (LINEAR Pair) 5Z + 45° = 180° 5z = 180° - 45° 5z = 135° z = 135°/5 z = 27 3z = 3 × 27° = 81° 2z = 2 × 27° = 54° 3z + 2z + x = 180° (Linear Pair) 81° + 54° + x = 180° 135° + x = 180° x = 180° - 135° x = 45° x + y = 180° (Linear Pair) 45° + y = 180° y = 180° - 45° y = 135° Hence, 3z = 81° 2z = 54° x = 45° y = 135°

Answer»

Answer:

3z = 81°

2z = 54°

x = 45°

y = 135°

Step-by-step explanation:

3z + 2z + 45° = 180° (LINEAR Pair)

5Z + 45° = 180°

5z = 180° - 45°

5z = 135°

z = 135°/5

z = 27

3z = 3 × 27°

= 81°

2z = 2 × 27°

= 54°

3z + 2z + x = 180° (Linear Pair)

81° + 54° + x = 180°

135° + x = 180°

x = 180° - 135°

x = 45°

x + y = 180° (Linear Pair)

45° + y = 180°

y = 180° - 45°

y = 135°

Hence, 3z = 81°

2z = 54°

x = 45°

y = 135°

Discussion