ADC is a straight line.
1 answer:
Applying the triangle sum theorem, the size of ∠BDC = 95°.
<h3>What is the Triangle Sum Theorem?</h3>All three interior angles of any triangle have a sum that equals 180 degrees, based on the triangle sum theorem.
The diagram attached below shows the following:
- m∠BAD = 55°
- m∠BCD = 25°
- m∠ABD = 2x°
- m∠CBD = 3x°
Thus:
55 + 2x + 3x + 25 = 180 (triangle sum theorem).
- Add like terms
80 + 5x = 180
5x = 180 - 80
5x = 100
x = 20
Therefore,
m∠BDC = 180 - (3x + 25) (triangle sum theorem)
- Plug in the value of x
m∠BDC = 180 - (3(20) + 25)
m∠BDC = 95°
Therefore, applying the triangle sum theorem, the size of ∠BDC = 95°.
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Answer:
Step-by-step explanation:
We have been given the intersection coordinates:
(7,1,-6) and perpendicular to the line x=-1+t ,y=-2+t and z=-1+t
From the condition of perpendicularity we know:
Now, we have given x=-1+t , y=-2+t and z= -1+t
Now, substituting t in the given coordinates x,y and z we get:
And