Maths-

General

Easy

Question

Hint:

- The base angle theorem states that if the sides of a triangle are congruent then the angles opposite these sides are congruent.

## The correct answer is: x = 500 : y = 500 : z = 1300

- We have given a figure with three unknown angles x, y, z.
- We have to find the value of x, y, z.

Step 1 of 1:

We have given figure,

In ,

Now, By Exterior angle theorem of triangle,

So,

= 50

So, x = 50^{0}

Since, AC = AD

Then

y = x = 50^{0}

Now, y and z form linear pair then,

50^{0} + z^{ }= 180^{0}

z = 130^{0}

So,

x = 50^{0}

y = 50^{0}

z = 130^{0}

Now, By Exterior angle theorem of triangle,

So,

So, x = 50

^{0}

Since, AC = AD

Then

^{0}

Now, y and z form linear pair then,

^{0}+ z

^{ }= 180

^{0}

^{0}

So,

^{0}

^{0}

^{0}

### Related Questions to study

Maths-

### Is the relation shown below a function ? Explain.

All functions are relations but all relations are not functions.

### Is the relation shown below a function ? Explain.

Maths-General

All functions are relations but all relations are not functions.

Maths-

### Six more than eight times a number is forty-six. Find the number.

### Six more than eight times a number is forty-six. Find the number.

Maths-General

Maths-

### Sravs and her parents are going to an art museum for the day. The Parking garage near the museum charges the rates shown here below:

a) Is the cost to park a function of time ? Explain .

b) If they stay at the museum for 6 hours , Should they expect to pay more than $25.

### Sravs and her parents are going to an art museum for the day. The Parking garage near the museum charges the rates shown here below:

a) Is the cost to park a function of time ? Explain .

b) If they stay at the museum for 6 hours , Should they expect to pay more than $25.

Maths-General

Maths-

### Is the following ordered pairs forms a function ?

(54,9)( 54, 10 )(61,17) (45, 10)(65,11) (50 , 12)

### Is the following ordered pairs forms a function ?

(54,9)( 54, 10 )(61,17) (45, 10)(65,11) (50 , 12)

Maths-General

Maths-

Maths-General

Maths-

### Rita uses a table to record the ages and heights of the six students he tutors . Is the relation a function ? Explain .

### Rita uses a table to record the ages and heights of the six students he tutors . Is the relation a function ? Explain .

Maths-General

Maths-

### Solve 3(5x + 1) = 2(x + 21). Write a reason for each step.

### Solve 3(5x + 1) = 2(x + 21). Write a reason for each step.

Maths-General

Maths-

### ABCDE is a regular polygon. Find the length of each side.

### ABCDE is a regular polygon. Find the length of each side.

Maths-General

Maths-

### Srinu needs to advertise his company . he Considers several different brochures of different lengths and areas. He presents the data as ordered pairs (4,24) (5,35 )(8,24) (2,20) (9,27).

Represent it in an arrow diagram and explain whether it is a function or not .

### Srinu needs to advertise his company . he Considers several different brochures of different lengths and areas. He presents the data as ordered pairs (4,24) (5,35 )(8,24) (2,20) (9,27).

Represent it in an arrow diagram and explain whether it is a function or not .

Maths-General

Maths-

### Solve 3(x − 7) = 2(x − 3). Write a reason for each step.

### Solve 3(x − 7) = 2(x − 3). Write a reason for each step.

Maths-General

Maths-

### A polygon has 6 sides. It is equilateral and equiangular. It is a

### A polygon has 6 sides. It is equilateral and equiangular. It is a

Maths-General

Maths-

### What additional information is necessary to state that the given polygon is regular?

### What additional information is necessary to state that the given polygon is regular?

Maths-General

Maths-

### Solve 5(2x − 8) = x + 14. Write a reason for each step.

### Solve 5(2x − 8) = x + 14. Write a reason for each step.

Maths-General

Maths-

### The given polygon is a

### The given polygon is a

Maths-General

Maths-

Maths-General