Answer:
The measure of the third angle is ![11\°](https://tex.z-dn.net/?f=11%5C%C2%B0)
Step-by-step explanation:
we know that
The sum of the interior angles in a triangle must be equal to 180 degrees
Let
x ---> the measure of the third angle in degrees
The linear equation that represent this situation is
![x+102\°+67\°=180\°](https://tex.z-dn.net/?f=x%2B102%5C%C2%B0%2B67%5C%C2%B0%3D180%5C%C2%B0)
solve for x
![x+169\°=180\°](https://tex.z-dn.net/?f=x%2B169%5C%C2%B0%3D180%5C%C2%B0)
![x=180\°-169\°](https://tex.z-dn.net/?f=x%3D180%5C%C2%B0-169%5C%C2%B0)
![x=11\°](https://tex.z-dn.net/?f=x%3D11%5C%C2%B0)
Yes.
345 centimeters and 345 cm are the same.
I do not really know because I am not in high school
The value of x in order for the two slats to be parallel is 6.
The measure of the indicated angle is 42°
What is an angle?
The angle is the measure of how inclined are the two surfaces, or lines with respect to each other.
For the slats to be parallel. both the given angles must be equal
So,
(3x +24)° = 7x°
Solving this expression, we get
7x -3x = 24
4x =24
x = 6°
The measure of the indicated angle is
(3x +24)° = 3x6 +24
(3x +24)° = 18+24
(3x +24)° =42°
and 7x = 7x6 =42°
Thus, the measure of the angle is 42°
Learn more about angle.
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