Question

what is the measure what is the measure of other three angle of the fourth angle of the parallelogram is given as 75 degree​

Answer 1

Answer:

Solution

Correct option is

B=135°

Let the four angles be ZA, ZB, ZC and ZD. Given ZA, ZB, ZC = 75⁰.

We know, by angle sum property, the sum of angles of a quadrilateral is 360°.

ZA+ZB+ZC + ZD = 360°.

Then, ZD will be given by:

ZD = 360° - ZA ZB - ZC

⇒ ZD

=

360° 75° 75° - 75⁰

Feedback

⇒ ZD= 360 - 225°

⇒ ZD

-

135º.