Question

Please help me with missing angles​

Answer 1

Answer:

u = 40° , v = 40° and x = 100°

Step-by-step explanation:

i) from the rule of triangle we know that the sum of all three angles = 180°

ii) 100° + 40° + y = 180°. Therefore y = 40°. where y is the angle adjacent to v.

iii) from theorem on parallel lines we can say that u = y =40°

iv) from the properties of parallel lines we get v = 40° as interior alternate angles are equal.

v) again from the properties of parallel lines we get u = 40°

vi) using the triangle property as in i) we can see that u + v + x =180° therefore 40° + 40° + x = 180°. Therefore x = 100°.

vii) Therefore u = 40° , v = 40° and x = 100°