Question

AB and CD are parallel find the value of y
Show clearly how you got your answers with reasons

Answer 1

y = 167°

Explanation:

The vertex of the triangle = 154° ( alternate angle to 154° )

The triangle has 2 equal legs so is isosceles with 2 base angles congruent

base angle =
`(180-154)/(2)` =
`(26)/(2)` = 13°

base angle and y are adjacent angles, lie on straight line AB and sum to 180°

y + 13° = 180° ( subtract 13° from both sides )

y = 167°