Question

find the values of x and y in each figure (with full explanation plz)​

Answer 1

Answer:

fig a

x is 75 degrees as x+ 105 is 180 by linear pair

y is 60 degree as by angle sum property of triangle so

x+45+y is 180

so 75+45+y is 180

so 180 - 120 is y

y is 60

fig b

x is 75 by vertically opposite angles

y is 180 -( 40+ x)

so 180-115

y is 65

fig c

now as angle BAC is x because vertically opposite angles

now ANGLE CBA is also x by vertically opposite angles

Angle ACB is also x by vertically opposite angles

so as all the angles in triangle ABC are x so it is equilateral triangle so x is 60

y is 120 as x+ y is 180