Question

The sum of two angles of a quadrilateral is 120° the other two angles are equal find the measure of each angle

Answer 1

Answer:

let the quadrilateral be ABCD

acq

A+B=120

ac to the ASP

A+B+C+D=36O DEGREES

so,

60+60+C+D=360 DEGREES

C+D =360-120

C+D=240/2 (AS OPPOSITE SIDES ARE EQUAL IN A QUADRILATERAL)

C+D=120

∴ A = 60 DEGREES

  B = 60 DEGREES

  C = 120 DEGREES

  D = 120 DEGREES                              CHECK=

                                                              SUM OF ALL ANGLES = 360  

                                                                                                         

60

+60

+120

+120      

360                      

Step-by-step explanation: