Question

A parallelogram has one angle that measures 150 what are the measures of the other three angles in the parallelogram

Answer 1

Answer:

150°, 30°, 150°, 30°

Step-by-step explanation:

Let ABCD be ।। gm and <a be 150.

We know that, adjacent angles of ।।gm are supplementary.

So,

<a + <b = 180 degree

150 + <b = 180 degree

<b = 180 - 150 degree

<b = 30 degrees

Now,

In ll gm opposite angles are equal.

So, <a = <c and <b = <d

Or,

<c = <a = 150 degree

<d = <b = 30 degrees