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

Mathematics

1 answer:

Zina [86]2 years ago

5 0

Answer:

y = 167°

Step-by-step 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 = $\frac{180-154}{2}$ = $\frac{26}{2}$ = 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°

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