Question

Angle 1 and angle 2 of a quadrilateral are equal , 3rd angle is twice of angle 1, and angle 4 is half of angle 2. Find measure of each angle in sequence of angle 1,2,3,4



plz help me

Answer 1

Answer:

the angles measures are : angle1, 80 angle2, 80 angle3, 160 angle4, 40

Step-by-step explanation

given that,

angle1 and angle2 are equal

angle3 is twice of angle1,  angle4 is half of angle 2

let angle1 be x if angle1=x then angle2=x

angle3= 2x

angle4= x/2

as it is a quadrilateral,

x+x+2x+x/2 = 360

2x+2x+x/2 = 360

4x+x/2 = 360

9x/2=360

9x=720

x=80

therefore, angle1=80

angle2=80

angle3= 160

angle4=40