Question

Find the values of x and y

Answer 1

Answer:

x=90° and y= 43°

Step-by-step explanation:In ∆ABC Applying

Angle sum property

47°+47°+2y=180°

y=43°

In ∆ABD Applying Angle sum property

x=90°

Answer 2

Answer:

x = 90

y = 43

Step-by-step explanation:

Given

The triangle is marked as isosceles.

The right side angle is 47 degrees.

Angle A is bisected. One of the equal angles is marked as y.

Proof

There is a y value in each of the smaller triangles  Property of Isosc Δs

The vertical line is common to both triangles.         Reflexive property.

The two base angles are both 47 degrees              Property Isosc Δs

Both triangles have a value of x in them                  Every triangle has 180°

Therefore each x is equal and supplementary to each other.

x + x = 180°                                                                  Supp angles add to 180°

2x = 180              Divide by 2

2x/2 = 180/2

x = 90

x + 47 + y = 180 °                  Every triangle has 180°

90 + 47 + y = 180°

137 + y = 180

y = 43