in a geometric diagram<A and <B are complementary and they form a straight line with <C

if m<A= x° and m<B= (2x) and <C=90
what is the measure of <B

3 answers

In a complementary angle relationship, the sum of the measures of the two angles is always 90 degrees.

So we know that m<A + m<B = 90.

Given that m<A = x° and m<B = 2x, we can substitute these values into the relationship:

x + 2x = 90

Combining like terms:

3x = 90

Dividing both sides by 3:

x = 90/3

x = 30

So the measure of angle B, m<B, is 2x = 2(30) = 60 degrees.
so the answer is wat
The measure of angle B, m<B, is 60 degrees.