Home » » In the diagram, MQ//RS, < TUV = 70° and < RLV = 30°. Find the value of x

# In the diagram, MQ//RS, < TUV = 70° and < RLV = 30°. Find the value of x

### Question

In the diagram, MQ//RS, < TUV = 70° and < RLV = 30°. Find the value of x

A) 150°

B) 110°

C) 100°

D) 95°

### Explanation:

L + 30° - 180°(Sum of
L = 180° - 30° = 150°
L = q = 150° (opposite angles)
y = b = 30° (alternating angles)
b + c = 180° (sum of angles on a straight line)
30° + c = 180°
c = 180 - 30
c = 150°
b = a = 30° (opposite angles)
c = d = 150° (opposite angles)
a + k + 70° = 180° (sum of angles on a straight line)
30° + k + 70° = 180°
k + 100° = 180°
k = 180 - 100
k = 80°
x + 80° = 180(sum of angles on a straight line)
x = 180° - 80°
x = 100°

## Dicussion (1)

• L + 30° - 180°(Sum of
L = 180° - 30° = 150°
L = q = 150° (opposite angles)
y = b = 30° (alternating angles)
b + c = 180° (sum of angles on a straight line)
30° + c = 180°
c = 180 - 30
c = 150°
b = a = 30° (opposite angles)
c = d = 150° (opposite angles)
a + k + 70° = 180° (sum of angles on a straight line)
30° + k + 70° = 180°
k + 100° = 180°
k = 180 - 100
k = 80°
x + 80° = 180(sum of angles on a straight line)
x = 180° - 80°
x = 100°