Question

Find x,y,and z if AB||CD​

Answer 1

Explanation:

Hey there!

75° + 28° + angle KFG = 180°( being linear pair)

103° + angle KFG = 180°

angle KFG = 180° - 103°

Therefore, angle KFG= 77°

Now;

angle KFG + 28° +22° + X= 180°{ co-interior angle}

77°+28° + 22°+x= 180°

X = 180°-127°

Therefore, X = 53°

y == X+22°= 75° { being alternate angle}

angle KFG+x+z = 180° {sum of interior angle of triangle}

77°+53° + z = 180°

z = 180° - 130°

z= 50°

Therefore, X= 53°, y = 75° and z= 50°.

Hope it helps...