Question

for which value of x is AD||BC​

Answer 1

Answer:

X j102

Step-by-step explanation:

35 +DAC =78 (alternatie interior angle)

Dac =78-35

DAC = 43

DAB + x =180 since interior angles on the same side of transversal are supplementary

78 + x =180

X = 180 - 78

X = 102

Answer 2

Answer:

let us assume that AD is parallel to BC.

therefore angle BAD = 78° ----- (Alternate angles)

now, angle BAC + angle CAD = 78°

therefore Angle BAC = 78° - 35°

= 43°

in triangle ABC

angle A + angle B + angle C = 180°

therefore angle B = 180° - 90° - 43°

= 47°

therefore, for x = 47°; AD||BC