Maths-

General

Easy

Question

# ABC is an equilateral triangle. Base BC is produced to E. Such that BC= CE. Calculate ?

Hint:

### Use the property of isosceles triangle.

## The correct answer is: 30°

ΔABC, is an equilateral triangle.

Sum of 2 non adjacent interior angles of a triangle is equal to the exterior angle

Now, ΔACE is an isosceles triangle with AC = CE

Sum of all angles of a triangle is 180^{0}

### Related Questions to study

Maths-

### Find the smallest number by which 694 should be multiplies , so that product is a perfect square.

### Find the smallest number by which 694 should be multiplies , so that product is a perfect square.

Maths-General

Maths-

### The perpendicular bisectors of the sides of a triangle ABC meet at point I. prove that IA=IB=IC

### The perpendicular bisectors of the sides of a triangle ABC meet at point I. prove that IA=IB=IC

Maths-General

Maths-

### Use prime factorization method to find the square root of each of the following :

c) 1089

### Use prime factorization method to find the square root of each of the following :

c) 1089

Maths-General

Maths-

### Use prime factorization method to find the square root of each of the following :

b)175

### Use prime factorization method to find the square root of each of the following :

b)175

Maths-General

Maths-

### Use prime factorization method to find the square root of each of the following :

a)11025

### Use prime factorization method to find the square root of each of the following :

a)11025

Maths-General

Maths-

### In Triangle ABC , AB= AC, and D is a point on AB. Such that AD=DC=BC. Show that

### In Triangle ABC , AB= AC, and D is a point on AB. Such that AD=DC=BC. Show that

Maths-General

Maths-

### In the triangle ABC, the angles at A and C are 40° and 95° respectively. If N is the foot of the perpendicular from C to AB , prove that CN = BN.

### In the triangle ABC, the angles at A and C are 40° and 95° respectively. If N is the foot of the perpendicular from C to AB , prove that CN = BN.

Maths-General

Maths-

### Given XYZ is a triangle in which XW is the bisector of the angle x and XW ⊥ yz. Prove that xy= xz.

### Given XYZ is a triangle in which XW is the bisector of the angle x and XW ⊥ yz. Prove that xy= xz.

Maths-General

Maths-

### ABC is a triangle in which altitudes BE and CF to sides AC and AB respectively are equal. Show that

(i) ΔABE ⩭ ΔACF

(ii) AB = AC

### ABC is a triangle in which altitudes BE and CF to sides AC and AB respectively are equal. Show that

(i) ΔABE ⩭ ΔACF

(ii) AB = AC

Maths-General

Maths-

### In the figure, OA = OD and OB = OC. Show that:

(i) AOB ⩭ DOC

(ii) AB || CD

### In the figure, OA = OD and OB = OC. Show that:

(i) AOB ⩭ DOC

(ii) AB || CD

Maths-General

Maths-

### If AD ⟂ CD and BC ⟂ CD , AQ = PB and DP = CQ. Prove that

### If AD ⟂ CD and BC ⟂ CD , AQ = PB and DP = CQ. Prove that

Maths-General

Maths-

### Prove that the medians bisecting the equal sides of an isosceles triangle are also equal. If OA = OB and OD = OC, show that:

(i) AOD ⩭ BOC

(ii) AD || BC

### Prove that the medians bisecting the equal sides of an isosceles triangle are also equal. If OA = OB and OD = OC, show that:

(i) AOD ⩭ BOC

(ii) AD || BC

Maths-General

Maths-

### Kumar wants to spread a carpet on the floor of his classroom. The floor is a square

with an area of 4160.25 square feet. What is the length of carpet on each side?

### Kumar wants to spread a carpet on the floor of his classroom. The floor is a square

with an area of 4160.25 square feet. What is the length of carpet on each side?

Maths-General

Maths-

### The volume of a cubical box is 12167 cm^{3}. Find the side of the box and its 6 sides area?

### The volume of a cubical box is 12167 cm^{3}. Find the side of the box and its 6 sides area?

Maths-General

Maths-

### The area of a square is 289 m^{2}, find its perimeter?

### The area of a square is 289 m^{2}, find its perimeter?

Maths-General