Question
in a geometric diagram <a and <b are complementary and they form a straight line whith <c if m<a=x
Answers
Answered by
GPT 3.5
If ∠A and ∠B are complementary and form a straight line with ∠C, then the measure of ∠A can be represented as x.
Since ∠A and ∠B are complementary, their measures add up to 90 degrees. So, the measure of ∠B is 90 - x.
Given that ∠A and ∠B form a straight line with ∠C, we can say that the sum of their measures is equal to 180 degrees. Therefore:
x + (90 - x) + ∠C = 180
Simplifying the equation:
90 + ∠C = 180
Subtracting 90 from both sides:
∠C = 90
So, the measure of ∠C is 90 degrees.
Since ∠A and ∠B are complementary, their measures add up to 90 degrees. So, the measure of ∠B is 90 - x.
Given that ∠A and ∠B form a straight line with ∠C, we can say that the sum of their measures is equal to 180 degrees. Therefore:
x + (90 - x) + ∠C = 180
Simplifying the equation:
90 + ∠C = 180
Subtracting 90 from both sides:
∠C = 90
So, the measure of ∠C is 90 degrees.
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