There are angels whose measures add to 180 degrees the measures are m< A=67 degree m <B = (2x+20) degree and m < C =x what is the measure of <B
To find the measure of angle B, we have to use the fact that the sum of the angles in a triangle is 180 degrees.
Therefore, we have:
67 + (2x + 20) + x = 180
Simplifying the equation:
67 + 2x + 20 + x = 180
3x + 87 = 180
3x = 93
x = 31
Now that we have found the value of x, we can substitute it back into the expression for angle B:
m <B = 2x + 20
m <B = 2(31) + 20
m <B = 62 + 20
m <B = 82 degrees
Therefore, the measure of angle B is 82 degrees.