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.