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?

Answer 1

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.