Answer: m∠ABC and m∠ABD are the measures of angles in a triangle. The sum of the measures of the angles in a triangle is always 180°.
So if we know two of the angles, we can use this information to find the measure of the third angle.
Given that m∠ABC= (8x-48)°, m∠ABD=44°
we can find the measure of the third angle, m∠BCD by:
m∠ABC + m∠ABD + m∠BCD = 180
(8x-48) + 44 + m∠BCD = 180
m∠BCD = 180 - (8x-48) - 44
m∠BCD = 180 - 8x + 4
m∠BCD = (180 - 8x + 4)°
However, Since we don't know the value of x, the measure of angle BCD is not determined.
Explanation: