Question

This is a triangle:

Answer 1

13°

Explanation:

Neccessary information:

Total internal angles in a triangle is equal to 180°.

Method:

The first step is to add the given values of 54 and 61, this gives you 115. This is because the total internal angle in a triangle is 180°. This means that in order to work out the value of v we must add the given values to find how much of the 180° is already known.

The next step is to find the value of 5v. This can be done by subtracting 115 (Total of the values given) from 180, this gives you 65(5v). This is because we are finding how much of the 180° total is not known.

The final step is to divide the value of 5v which is 65 by 5, this gives you 13. This is because 65 is equal to 5v so to work out the value of v you would need to divide by 5.

Step by step:

1) Add 54 and 61.

`54+61=115`

2) Subtract 115 from 180.

`180-115=65`

3) Divide 65 by 5.

`65/5=13`

Answer 2

v = 13

General Formulas and Concepts:

Pre-Algebra

• Equality Properties

Geometry

• All angles in a triangle add up to 180°

Explanation:

Step 1: Set up equation

54 + 61 + 5v = 180

Step 2: Solve for v

1. Combine like terms: 115 + 5v = 180
2. Subtract 115 on both sides: 5v = 65
3. Divide 5 on both sides: v = 13

And we have our final answer!