हिंदी

In ∆ABC, AB = AC and ∠B = 50°. Then ∠C is equal to ______.

Advertisements
Advertisements

प्रश्न

In ∆ABC, AB = AC and ∠B = 50°. Then ∠C is equal to ______.

विकल्प

  • 40°

  • 50°

  • 80°

  • 130°

MCQ
रिक्त स्थान भरें
Advertisements

उत्तर

In ∆ABC, AB = AC and ∠B = 50°. Then ∠C is equal to 50°.

Explanation:

According to the question, triangle ABC is:

AB = AC  ...[Given]

So, ∠C = ∠B  ...[Angles opposite to equal sides are equal]

Given: ∠B = 50°

So, ∠C = 50°

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 7: Triangles - Exercise 7.1 [पृष्ठ ६४]

APPEARS IN

एनसीईआरटी एक्झांप्लर Mathematics Exemplar [English] Class 9
अध्याय 7 Triangles
Exercise 7.1 | Q 3. | पृष्ठ ६४

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

ΔABC is an isosceles triangle in which AB = AC. Side BA is produced to D such that AD = AB (see the given figure). Show that ∠BCD is a right angle.


In Fig. 10.23, PQRS is a square and SRT is an equilateral triangle. Prove that
(i) PT = QT (ii) ∠TQR = 15° 

 


The vertical angle of an isosceles triangle is 100°. Find its base angles. 


If the base of an isosceles triangle is produced on both sides, prove that the exterior angles so formed are equal to each other. 


Two lines AB and CD intersect at O such that BC is equal and parallel to AD. Prove that the lines AB and CD bisect at O. 


BD and CE are bisectors of ∠B and ∠C of an isosceles ΔABC with AB = AC. Prove that BD = CE. 


If the bisector of the exterior vertical angle of a triangle be parallel to the base. Show that the triangle is isosceles.  


Which of the following statements are true (T) and which are false (F): 

The measure of each angle of an equilateral triangle is 60° 

 


In a ΔABC, if ∠B = ∠C = 45°, which is the longest side? 


O is any point in the interior of ΔABC. Prove that
(i) AB + AC > OB + OC
(ii) AB + BC + CA > OA + QB + OC 
(iii) OA + OB + OC >` 1/2`(AB + BC + CA) 


In a triangle ABC, if AB =  AC and AB is produced to D such that BD =  BC, find ∠ACD: ∠ADC.


If the measures of angles of a triangle are in the ratio of 3 : 4 : 5, what is the measure of the smallest angle of the triangle?


In a ΔABC, ∠A = 50° and BC is produced to a point D. If the bisectors of ∠ABC and ∠ACDmeet at E, then ∠E =


The side BC of ΔABC is produced to a point D. The bisector of ∠A meets side BC in L. If ∠ABC = 30° and ∠ACD = 115°, then ∠ALC = ______.


In the given figure, if l1 || l2, the value of x is


D is a point on the side BC of a ∆ABC such that AD bisects ∠BAC. Then ______.


Two sides of a triangle are of lengths 5 cm and 1.5 cm. The length of the third side of the triangle cannot be ______.


If ∆PQR ≅ ∆EDF, then is it true to say that PR = EF? Give reason for your answer


CDE is an equilateral triangle formed on a side CD of a square ABCD (Figure). Show that ∆ADE ≅ ∆BCE.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×