Solve this : 2 In figure, BD=DC and ∠DBC=25 , find the measure of ∠BAC - Maths - Introduction to Euclid\s Geometry

Question

Solve this :
2   I n   f i g u r e ,   B D = D C   a n d
  ∠ D B C = 25 ° ,   f i n d   t h e
  m e a s u r e   o f   ∠ B A C

Shruti Tyagi · Accepted Answer

Dear student,

Given BD=DC⇒∠BCD=∠DBC=25°  --[Equal sides have equal angle opp
 to them]In ∆BCD∠BCD+∠DBC+∠BDC=180°⇒25°+25°+∠BDC=180°⇒∠BDC=180°-50°⇒∠BDC=130°In cyclic quad ABCD∠A+∠D=180°       --[sum of opp
 angles of cyclic quad is 180°]⇒∠A=180°-130°⇒∠A=50°thus the value of ∠BAC=50°

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Solve this : 2 . I n f i g u r e , B D = D C a n d ∠ D B C = 25 ° , f i n d t h e m e a s u r e o f ∠ B A C .

Solve this :
$2 . I n f i g u r e, B D = D C a n d ∠ D B C = 25 °, f i n d t h e m e a s u r e o f ∠ B A C .$