Question
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 n<c=90 what is the measure of <b
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GPT 3.5
Since <a and <b are complementary, their measures sum up to 90 degrees.
Given that m<a = x and m<b = 2x, we can write the equation:
x + 2x = 90
Combining like terms:
3x = 90
Dividing both sides by 3:
x = 30
Therefore, m<b = 2x = 2(30) = 60.
So, the measure of <b is 60 degrees.
Given that m<a = x and m<b = 2x, we can write the equation:
x + 2x = 90
Combining like terms:
3x = 90
Dividing both sides by 3:
x = 30
Therefore, m<b = 2x = 2(30) = 60.
So, the measure of <b is 60 degrees.
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