Find the value of B if C=106° the triangle is right, what is the value of B
If the triangle is right, one of the angles must be 90°.
Therefore, the sum of the angles B and C must be 90°.
Given that C = 106°, we have:
B + C = 90°
B + 106° = 90°
B = 90° - 106°
B = -16°
Therefore, the value of B is -16°.
To find the value of angle B in a right triangle when angle C is 106°, we can use the fact that the sum of all angles in a triangle is always 180°.
In a right triangle, one angle is equal to 90°. So, in this case, we have:
Angle B + Angle C + 90° = 180°
Substituting the given value for angle C:
Angle B + 106° + 90° = 180°
Simplifying the equation:
Angle B + 196° = 180°
Subtracting 196° from both sides:
Angle B = 180° - 196°
Angle B = -16°
Therefore, the value of angle B in the triangle is -16°.
To find the value of angle B in a right triangle when angle C is given, we can use the fact that the sum of the angles in a triangle is always 180 degrees.
In a right triangle, one angle is always 90 degrees. Let's call this angle A.
So, we have:
Angle A = 90 degrees
Angle C = 106 degrees
We can use the fact that the sum of angles in a triangle is 180 degrees to find the value of angle B:
Angle A + Angle B + Angle C = 180 degrees
Substituting the given values:
90 degrees + Angle B + 106 degrees = 180 degrees
Simplifying the equation:
Angle B + 196 degrees = 180 degrees
We can now isolate Angle B:
Angle B = 180 degrees - 196 degrees
Angle B = -16 degrees
Therefore, the value of angle B is -16 degrees.