Question

What is the measure of x and y?Хx=80°, y=120°x=50° , y=30°Bx=50° , y=120°Ox=80° , y=30°Аto12050°|yºС

Answer 1

Consider the triangle ABC.

In triangle ABC, side AB is equal to AC means that angle B is equal to angle C.

Determine the value of angle in triangle ABC.

`\begin{gathered} \angle A+\angle B+\angle C=180^(\circ) \\ x^(\circ)+50^(\circ)+50^(\circ)=180^(\circ) \\ x^(\circ)=80^(\circ) \end{gathered}`

Consider the triangle BCD.

In triangle BCD, side BD is equal to side CD, so angle B is equal to angle C.

Determine the angle of triangle BCD.

`\begin{gathered} \angle B+\angle C+\angle D=180^(\circ) \\ y^(\circ)+y^(\circ)+120^(\circ)=180^(\circ) \\ y^(\circ)=(60^(\circ))/(2) \\ =30^(\circ) \end{gathered}`

So correction answer is D part.