Question

Find x and y in each of the following where DE parallel to BC​

Answer 1

Answer:

since DE II BC and transversal BA cuts them

so, y=55°. {alternate interior angles}

In ∆ABC

BC=AC

angle A=angle B {angles opposite to equal sides}

y=angle B=55°

angle A+angle B+angle C=180°

x+55°+55°=180°

x+110°=180

x=180°-110°

x=70°

now, x=70°and y=55°