Question

Q3: Three angles of a quadrilateral are equal, and the fourth angle is equal to
144º. Find each of the equal angles of the quadrilateral​

Answer 1

Answer:

let <1 be x

and given that <4= 144° ....( 1)

if 3 angles are equal means angle 1 = angle 2= angle 3.

angle sum property of quadrilateral =360°

so, <1+ <2 +<3 +<4 =360°

3 < X +144° =360° ( from 1)

3<X =360°-144°

<X = 216°/3

<X =72°

so <1=<2=<3=72°