Question
In a diagram A and B are vertical angles and B is a complementary angle with C if m A=22 degree write an equation that you can solve for m C
Answers
GPT 3.5
Since A and B are vertical angles, they are congruent. Therefore, m(B) = m(A) = 22 degrees.
Also, since B is a complementary angle with C, we know that the sum of angle B and angle C is equal to 90 degrees.
So, m(B) + m(C) = 90 degrees.
Now, substituting the known values, we get:
22 + m(C) = 90
Rearranging the equation, we get:
m(C) = 90 - 22
Simplifying, we have:
m(C) = 68
Therefore, m(C) is equal to 68 degrees.
Also, since B is a complementary angle with C, we know that the sum of angle B and angle C is equal to 90 degrees.
So, m(B) + m(C) = 90 degrees.
Now, substituting the known values, we get:
22 + m(C) = 90
Rearranging the equation, we get:
m(C) = 90 - 22
Simplifying, we have:
m(C) = 68
Therefore, m(C) is equal to 68 degrees.