Subtracting 22° from both sides of the equation, we have:
m∠C = 90° - 22°
m∠C = 68°
Therefore, the measure of angle C is 68°.
Since ∠A and ∠B are vertical angles, they have the same measure. Therefore, m∠B = 22°.
Since ∠B is a complementary angle with ∠C, the sum of their measures is 90°. Therefore, m∠B + m∠C = 90°.
Substituting the known values, we have:
22° + m∠C = 90°
This is the equation that can be used to solve for m∠C.
5 answers
are you sure
I made a mistake in my previous response. Let's correct it:
Since ∠B is a complementary angle with ∠C, the sum of their measures is 90°. Therefore, m∠B + m∠C = 90°.
Substituting the known values, we have:
22° + m∠C = 90°
Subtracting 22° from both sides of the equation:
m∠C = 90° - 22°
m∠C = 68°
Therefore, the measure of angle C is indeed 68°. Thank you for catching that mistake.
Since ∠B is a complementary angle with ∠C, the sum of their measures is 90°. Therefore, m∠B + m∠C = 90°.
Substituting the known values, we have:
22° + m∠C = 90°
Subtracting 22° from both sides of the equation:
m∠C = 90° - 22°
m∠C = 68°
Therefore, the measure of angle C is indeed 68°. Thank you for catching that mistake.
can you make that shorter
Given that angles B and C are complementary (meaning they add up to 90 degrees) and angle B measures 22 degrees, we can set up the equation:
m∠B + m∠C = 90°
22° + m∠C = 90°
Subtracting 22 from both sides gives:
m∠C = 90° - 22°
m∠C = 68°
Therefore, the measure of angle C is 68 degrees.
m∠B + m∠C = 90°
22° + m∠C = 90°
Subtracting 22 from both sides gives:
m∠C = 90° - 22°
m∠C = 68°
Therefore, the measure of angle C is 68 degrees.
6 answers