There are angles whos measures add up to 180 degrees. Their measures are:

Question

m<A=67 degrees
m<B = (2x+20) degrees
and m<C = x degrees
what is the measure of <B?

Answer 1

We know that the sum of the measures of the angles is 180 degrees. Therefore, we can write the equation:

m<A + m<B + m<C = 180

Substituting the given measures in terms of x:

67 + (2x+20) + x = 180

Simplifying the equation:

3x + 87 = 180

Subtracting 87 from both sides:

3x = 93

Dividing both sides by 3:

x = 31

Now, we can substitute x = 31 into the expression for m<B:

m<B = 2(31) + 20 = 82

Therefore, the measure of angle B is 82 degrees.