Question

(a) Find x + y + z
90° ,30°​

Answer 1

Answer:

x+90° = 180°(sum of angles on a straight line is 180°)

x=180-90 = 90°

z+30°= 180°

z = 180-30 = 150°

in order to find y, we need to find the third angle

3rd angle = 180-(30+90) = 180 - 120 = 60°

y+60° = 180°

y = 180-60 = 120°

x+y+z = 90+120+150 = 360°

Answer 2

Step-by-step explanation:

• Here, 30° + z = 180° ( Linear pair )
• So, z = 180-30 = 150°
• x+ 90° = 180°
• x = 180-90 = 90°
• Now, y = 90° + 30° = 120° ( exterior angle = sum of two opposite interior angle)
• Therefore, x= 90° , y = 120° and z = 150°
• Hence, x+y+z = 90+120+150 = 360°