Answer:
<u>y = 6 x=8</u>
Step-by-step explanation:
(3х + 5y = 54)-2 times by -2
6х +4y = 72
-6х + -10y = -108 now combine the equations
6х + 4y = 72
-6y = -36 now divide
y = 6
Plug 6 in 6х +4 * 6 = 72
x=8


Hence they are similar
#2
- <A=<H
- And ratio of sides are same
Hence both triangles are similar by SAS property
#3

Answer:
since it is Right angled isosceles triangle it's base side are equal
by using Pythagoras law
x²+x²=1²
2x²=1
x=√{1/2}or 0.707 or 0.71
Vertical angles are equal
5x - 40 = 3x + 8
5x - 3x = 8 + 40
2x = 48
x = 48/2
x = 24
m∠ABC = 3x + 8 = 3 * 24 + 8 = 80°
(or m∠ABC = 5x - 40 = 5 * 24 - 40 = 80°)