Question

In the given figure , line DH || BI. Find the values of x , yeal shelbias and z

Answer 1

CG is the transversal

angle 2 = 75

by co int angles prpt z + 75 = 180°

→ z = 180- 75 = 105

now for x ABC is a triangle more specifically a right angled triangle so angle 1 is 35 + 90 + x = 180° because the sum of the int angles of a triangle is 180 so x = 180 - 125 = 55.

now ADE is another right angled triangle and triangles have a prpt known as the exterior angle prpt which says that the ext angle in this case y is eqal to the sum of its 2 opposite int angles in this case y = angle A 35 + angle D 90

so y = 35+90 = 125

to check this if u notice EC is a transversal and by the alt int angle prpt x = 55 = the supplementary angle of y so 125+55 = 180.