Label the vertices and all the elements needed. find x
1 answer:
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.
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Make a proportion.
Do base over height;
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h is the height of the second triangle. Solve for h.
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6h = 168
h = 28
The height of the second triangle is 28 cm.
Do base over height;
h is the height of the second triangle. Solve for h.
Cross multiply.
6h = 168
h = 28
The height of the second triangle is 28 cm.