Question

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Answer 1

Answer:

∠a=105°, ∠b= 35°, ∠c=40°

Step-by-step explanation:

Given:

∠DAC=35°  

∠CBX= 75°(EXTERIOR ANGLE)

To find:

∠a, ∠b, ∠c.

SOLVE:

If CD║AB and AC is the transversal then,

=>∠DAC=∠b= 35°                      (Alternate interior angles are equal)

If AD║BC and AB is the  transversal then,

=>∠DAB=∠CBX=75°                  (Corresponding angles are equal)

But ∠DAB= ∠DAC+∠c

So,

∠DAC+∠c= 75°

=> 35°+∠c= 75°           =>∠c= 75-35= 40°

∠CBA + ∠CBX= 180°                                                (Linear Pair)

=> ∠CBA + 75°= 180°

=>∠CBA = 180° - 75°= 105°

So, ∠CBA= ∠a=105°               (Opposite angles in Parallelogram are equal)

HOPE THE ANSWER HELPED!!