abcd is a rectangle. If measure angle bac=30 find the measure of angle dbc

its not that hard pls answer

Ummh 60° ??

Did you not make a diagram?
The answer would have been obvious.

yupp i do know that answer is 60 but i need to write down .. with explanation properly

got the explanation xD

Ask yourself

"how did I know it was 60° ? " and that becomes your explanation .

To find the measure of angle DBC, we can use the fact that opposite angles in a rectangle are congruent. In other words, if angle BAC is 30 degrees, then angle ADC is also 30 degrees.

Since the sum of angles in a triangle is 180 degrees, we can find the measure of angle DBC using the following equation:

DBC + BCD + DCB = 180 degrees

Since we know that angle BCD is 90 degrees (as it is a right angle in a rectangle), and angle DCB is 30 degrees (as we established earlier), we can substitute these values into the equation:

DBC + 90 + 30 = 180

Simplifying the equation, we find:

DBC + 120 = 180

Subtracting 120 from both sides gives:

DBC = 60 degrees

Therefore, the measure of angle DBC is 60 degrees.