arrow
arrow
arrow
In the given figure AB = AC and ∠ACD = 105°, then ∠BAC is equal to -
Question

In the given figure AB = AC and ∠ACD = 105°, then ∠BAC is equal to -

A.

60°

B.

105°

C.

30°

D.

75°

Correct option is C

Given:
AB = AC and ∠ACD = 105°,
∠BCD + ∠ACD = 180°
∠BCD + 105° = 180°
∠BCD = 180° - 105°
∠BCD =  75°
∠BCD = ∠ABC (Because AB = AC)
Thus,
∠BAC + ∠ABC + ∠ACB = 180°
∠BAC = 180° - (75° +75°)
∠BAC = 30°
Correct answer is (c) 30°.

Free Tests

Free
Must Attempt

UPTET : Paper 1 Full Mock - 01

languageIcon English
  • pdpQsnIcon150 Questions
  • pdpsheetsIcon150 Marks
  • timerIcon150 Mins
languageIcon English
Free
Must Attempt

UPTET : Paper 2 Maths & Science Full Mock - 01

languageIcon English
  • pdpQsnIcon150 Questions
  • pdpsheetsIcon150 Marks
  • timerIcon150 Mins
languageIcon English
Free
Must Attempt

UPTET : Paper 2 Social Science Full Mock - 01

languageIcon English
  • pdpQsnIcon150 Questions
  • pdpsheetsIcon150 Marks
  • timerIcon150 Mins
languageIcon English
test-prime-package

Access ‘UPTET’ Mock Tests with

  • 60000+ Mocks and Previous Year Papers
  • Unlimited Re-Attempts
  • Personalised Report Card
  • 500% Refund on Final Selection
  • Largest Community
students-icon
444k+ students have already unlocked exclusive benefits with Test Prime!
Our Plans
Monthsup-arrow