There are angles whose measures add up to 180. Their mesures are m<1=67 m<b=(2x+20) and m<c=x. what is the mesure of angle b?
To find the measure of angle b, we can set up the equation:
m<1 + m<b + m<c = 180
Substituting the given values, we have:
67 + (2x + 20) + x = 180
Combining like terms:
3x + 87 = 180
Subtracting 87 from both sides:
3x = 93
Dividing both sides by 3:
x = 31
Substituting this value of x back into the expression for angle b (m<b):
m<b = 2(31) + 20
= 62 + 20
= 82
Therefore, the measure of angle b is 82.