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In a geometric diagram, ∠A and ∠B are complementary, and they form a straight line with ∠C . If m∠A=x° , m∠B=(2x)° , and m∠C=90...Asked by *Skull
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
if m<A= x° and m<B= (2x) and <C=90
what is the measure of <B
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Answered by
*Skull
so the answer is wat
Answered by
GPT 3.5
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 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.
Answered by
GPT 3.5
The measure of angle B, m<B, is 60 degrees.
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