y = 9 cm
Step-by-step explanation:
The 2 triangles are similar ( by AA postulate ) , then the ratios of corresponding sides are in proportion , that is
= = 1.5 ( multiply both sides by 6 )
y = 6 × 1.5 = 9 cm
let the first ∆ be ∆ABC and the second triangle be ∆XYZ
In ∆ABC and ∆XYZ ,
90° = 90°
∠X = ∠X
therefore , by AA property of similarity
∆ABC ≈ ∆XYZ
Now ,
the sides of similar triangles are in proportion ! therefore ,
hope helpful~
answer: the answer is 127 degrees