https://api.agilixbuzz.com/Resz/~jNzVBAAAAAgczM-iH...
ABCD is a parallelogram. If m∠ADC= 18x+4 and the m∠DAB= 27x-4 then the m∠BCD= ?
Consecutive angles in a parallelogram are supplementary so their measures add to 180.
18x + 4 + 27x - 4 = 180
45x = 180
x = 180 ÷ 45
x = 4 so use that to get m < DAB. Opposite angles have the same measure so this will be the same as m < BCD.
Consecutive angles are supplementary in a parallelogram...so,
∠ADC + ∠DAB = 180 = (18x + 4) + (27x - 4) = 45x
x = 4, so ∠DAB = 104º
therefore, ∠BCD = 104º
Opposite angles are congruent !
Copyright © 2024 1QUIZZ.COM - All rights reserved.
Answers & Comments
Consecutive angles in a parallelogram are supplementary so their measures add to 180.
18x + 4 + 27x - 4 = 180
45x = 180
x = 180 ÷ 45
x = 4 so use that to get m < DAB. Opposite angles have the same measure so this will be the same as m < BCD.
Consecutive angles are supplementary in a parallelogram...so,
∠ADC + ∠DAB = 180 = (18x + 4) + (27x - 4) = 45x
x = 4, so ∠DAB = 104º
therefore, ∠BCD = 104º
Opposite angles are congruent !