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
