Question

In a parallelogram ABCD, P and Q are midpoints of DC and DA respectively. If angle DAC=30degree,then find the values of x and y

Answer 1

Correct Question :- In a parallelogram ABCD, P and Q are midpoints of DC and DA respectively. If angle DAC = 30° and angle ADC = 120° , then find the values of x and y ?

Solution :-

Given that, P and Q are midpoints of DC and DA respectively.

So,

→ PQ || AC . { By converse of Mid - Point Theorem.}

Now,

→ ∠DAC = 30° (given) .

Than,

→ ∠x = 30° . { corresponding angles.}

Also,

→ ∠ADC = 120° (given.)

Therefore,

→ ∠y = ∠x + ∠ADC . { Exterior angles is equal to sum of Opposite interior angles.}

→ ∠y = 30° + 120°

→ ∠y = 150° .

Learn more :-

In the fig, AB || CD,FIND x.(Hint:Prove that AOB-COD).

https://brainly.in/question/17942233