arrow
arrow
arrow
A triangle has angles A=50∘,B=60∘A=50^∘,B=60^∘A=50∘,B=60∘​, and side AB=10 cm. Find the third angle ?
Question

A triangle has angles A=50,B=60A=50^∘,B=60^∘​, and side AB=10 cm. Find the third angle ?

A.

50050^0​​

B.

60060^0​​

C.

700^0​​

D.

Cannot be determined

Correct option is C

Given
Angle A = 5050^\circ​​
Angle B = 6060^\circ​​
Side AB = 10 cm

Formula Used
Sum of angles in a triangle = 180180^\circ​​

Solution
The vertices of the triangle are A, B, and C.
Angle C=180(Angle A+Angle B)Angle C=180(50+60)Angle C=180110=70Angle \ C = 180^\circ - (\text{Angle A} + \text{Angle B}) \\Angle \ C = 180^\circ - (50^\circ + 60^\circ)\\Angle\ C = 180^\circ - 110^\circ = 70^\circ​​
Thus, the third angle is Angle C = 70070^0​​

Final Answer
So the correct answer is (c)

Free Tests

Free
Must Attempt

SSC GD PYP (Held on 4 Feb 2025 S1)

languageIcon English
  • pdpQsnIcon80 Questions
  • pdpsheetsIcon160 Marks
  • timerIcon60 Mins
languageIcon English
Free
Must Attempt

SSC GD Constable Exam Day Based Mock 1

languageIcon English
  • pdpQsnIcon80 Questions
  • pdpsheetsIcon160 Marks
  • timerIcon60 Mins
languageIcon English
Free
Must Attempt

Mathematics Section Test 1

languageIcon English
  • pdpQsnIcon20 Questions
  • pdpsheetsIcon40 Marks
  • timerIcon25 Mins
languageIcon English
test-prime-package

Access ‘SSC Selection Post (Matriculation)’ Mock Tests with

  • 60000+ Mocks and Previous Year Papers
  • Unlimited Re-Attempts
  • Personalised Report Card
  • 500% Refund on Final Selection
  • Largest Community
students-icon
446k+ students have already unlocked exclusive benefits with Test Prime!
Our Plans
Monthsup-arrow