Please help me out!!!!!!
1 answer:
You might be interested in
Answer:
x = 14
Step-by-step explanation:
Since the triangles are similar, then the ratios of corresponding sides are equal, that is
=
, substitute values
=
( cross- multiply )
12(3x - 2) = 32(x + 1) ← distribute parenthesis on both sides
36x - 24 = 32x + 32 ( subtract 32x from both sides )
4x - 24 = 32 ( add 24 to both sides )
4x = 56 ( divide both sides by 4 )
x = 14
The value of x would be 30 degrees.
<h3>What is the angle sum property?</h3>The angle sum property of a triangle states that the sum of the interior angles of a triangle is 180 degrees.
Let's consider an angle CAD be t.
In a triangle ABD
x + 90 + t = 180
t = 180 -x - 90
t = 90 - x ( by angle sum property)
Now, we know that the sum of the corresponding angle on a transversal is 180
So,
Angle A + angle D = 180
2x + t + x + x = 180
substitute the t value
2x + 90 - x + 2x = 180
3x + 90 = 180
3x = 90
x = 30 degree
Hence, the value of x would be 30 degrees.
Learn more about the triangles;
#SPJ1
