Answer:
Set up an equation equal to <span>180o</span>
Explanation:
<span>3x+3x+6x=180</span>
<span>12x=180</span>
<span>x=<span>18012</span>=15</span>
So, the measure of the angles are:
<span>3x=3×15=45</span>
<span>3x=3×15=45</span>
<span>6x=6×15=<span>90</span></span>
Yo sup??
The two triangles are similar by AAA property ie
Angle Angle Angle property
Let us name the two triangles as ABC and DEF
By observing the figure
mB=mE=90 (right angled triangle)
mA=mD (parallel lines property)
mC=mF (parallel lines property)
Therefore by AAA the two triangles are similar .
The diagram is given below.
PS: All the credits for image goes to Picasso-PSN03
B
calculate the slopes m of the 2 lines using the gradient formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = C(- 2, 4) and (x₂, y₂ ) = D(0, - 4 )
=
=
= - 4
repeat with (x₁, y₁ ) = F(- 4, 0 ) and (x₂, y₂ ) = G(4, 2 )
=
=
= 
The 2 lines are perpendicular because their slopes are negative reciprocals