Maths-

General

Easy

Question

# Find the measure of each angle of an equilateral triangle using base angle theorem.

Hint:

- the base angle theorem states that if the sides of a triangle are congruent then the angles opposite these sides are congruent.
- An equilateral triangle is a triangle with all the three sides of equal length.

## The correct answer is: straight angle A equals straight angle B equals straight angle C equals 60 to the power of ring operator

- We have to find the measure of each angle of an equilateral triangle using base angle theorem.

Step 1 of 1:

Let a triangle be ABC

Here,

AB = AC

Using base angle theorem

And,

So,

Therefore,

Step 2 of 2:

We know that the sum of all angles of a triangle is 180^{0}.

Now,

So,

Here,

AB = AC

Using base angle theorem

And,

So,

Therefore,

Step 2 of 2:

We know that the sum of all angles of a triangle is 180

^{0}.

Now,

So,

### Related Questions to study

Maths-

### The length of each side of a regular pentagon is . Find the value of if its perimeter is .

### The length of each side of a regular pentagon is . Find the value of if its perimeter is .

Maths-General

Maths-

### Name the property of equality the statement illustrates.

Every segment is congruent to itself.

### Name the property of equality the statement illustrates.

Every segment is congruent to itself.

Maths-General

Maths-

Maths-General

Maths-

### If f(x) satisfies the relation 2f(x) +f(1-x) = x^{2} for all real x , then f(x) is

### If f(x) satisfies the relation 2f(x) +f(1-x) = x^{2} for all real x , then f(x) is

Maths-General

Maths-

### If f:R->R be a function whose inverse is (𝑥+5)/3 , then what is the value of f(x)

### If f:R->R be a function whose inverse is (𝑥+5)/3 , then what is the value of f(x)

Maths-General

Maths-

Maths-General

Maths-

### Let A= {x, y, z} and B= { p, q, r, s}, What is the number of distinct relations from B to A ?

### Let A= {x, y, z} and B= { p, q, r, s}, What is the number of distinct relations from B to A ?

Maths-General

Maths-

### Let f, g : R→R be defined, respectively by f(x) = x + 1, g(x) = 2x – 3. Find f + g, f – g and f(g)

### Let f, g : R→R be defined, respectively by f(x) = x + 1, g(x) = 2x – 3. Find f + g, f – g and f(g)

Maths-General

Maths-

### Name the property of equality the statement illustrates.

If ∠P ≅ ∠Q, then ∠Q ≅ ∠P.

### Name the property of equality the statement illustrates.

If ∠P ≅ ∠Q, then ∠Q ≅ ∠P.

Maths-General

Maths-

### Let f = {(1,1), (2,3), (0,–1), (–1, –3)} be a function from Z to Z defined by f(x) = ax + b, for some integers a, b. Determine a, b.

**Note: **All functions are relations but all relations are not functions.

### Let f = {(1,1), (2,3), (0,–1), (–1, –3)} be a function from Z to Z defined by f(x) = ax + b, for some integers a, b. Determine a, b.

Maths-General

**Note: **All functions are relations but all relations are not functions.

Maths-

### Planet Wiener receives $2.25 for every hotdog sold. They spend $105 for 25 packages of hot dogs and 10 packages of buns. Think of the linear function that demonstrates the profit based on the number of hotdogs sold

Rate of Change:___________

Initial Value:______________

Independent Variable:______

Dependent Variable:________

EQ of Line:________________

### Planet Wiener receives $2.25 for every hotdog sold. They spend $105 for 25 packages of hot dogs and 10 packages of buns. Think of the linear function that demonstrates the profit based on the number of hotdogs sold

Rate of Change:___________

Initial Value:______________

Independent Variable:______

Dependent Variable:________

EQ of Line:________________

Maths-General

Maths-

### Sketch a graph modelling a function for the following situation:

A dog is sleeping when he hears the cat “meow” in the next room. He quickly runs to the next room where he slowly walks around looking for the cat. When he doesn’t find the cat, he sits down and goes back to sleep. Sketch a graph of a function of the dog’s speed in terms of time.

### Sketch a graph modelling a function for the following situation:

A dog is sleeping when he hears the cat “meow” in the next room. He quickly runs to the next room where he slowly walks around looking for the cat. When he doesn’t find the cat, he sits down and goes back to sleep. Sketch a graph of a function of the dog’s speed in terms of time.

Maths-General

Maths-

### In the given diagram, m∠1 ≅ m∠3

Prove that ∠POR ≅ ∠QOS.

### In the given diagram, m∠1 ≅ m∠3

Prove that ∠POR ≅ ∠QOS.

Maths-General

Maths-

### When a new laptop became available in a store, the number sold in the first week was high. Sales decreased over the next two weeks and then they remained steady over the next two weeks. The following week, the total number sold by the store increased slightly. Sketch the graph that represents this function over the six weeks.

### When a new laptop became available in a store, the number sold in the first week was high. Sales decreased over the next two weeks and then they remained steady over the next two weeks. The following week, the total number sold by the store increased slightly. Sketch the graph that represents this function over the six weeks.

Maths-General

Maths-

### Graph the following functions by filling out the chart using the inputs ( x values) that you think are appropriate.

Y = 0.25x + 1

X |
|||||

Y |

### Graph the following functions by filling out the chart using the inputs ( x values) that you think are appropriate.

Y = 0.25x + 1

X |
|||||

Y |

Maths-General