Question

in the following figure find the measure x,y,z and w​

Answer 1

Answer:

x is 120°, y is 100°, z is 120° and w is 100

Step-by-step explanation:

x and 60 are forming linear pair

y and 80 are forming linear pair

z and 60 are forming linear pair

w and let it's linear pair be a

so w+a is 180, a is 180-w

so x is 180-60,y is 180-80,z is 180-60

so x ,y ,z are 120,100,120 degree respectively

now x+y+60 and the angle a sums to 360° (angle sum property)

so x+y+60+a = 360°

put the values of x,y,a

120+100+60+180-w=360

so w is 100° by solving