Question

4. What is the measure of 3n?

A. 30°
B. 40°
C. 50°
D. 60°

write the equation.
Solve for n.

Answer 1

We are given with three angles of triangle that are 3n , 5n and 10n.

We have to find the measure of 3n .

We know that sum of all angles of triangle is 180°.

`\sf \: 3n + 5n + 10n = 180\degree \\ \\ \sf \:18 n = 180\degree \\ \\ \sf \:n = (180)/(18) \\ \\ \sf \:n = 10\degree \\ \\`

Substituting value of n in 3n ,

= 3n

= 3 × 10

= 30°

Therefore, Measure of 3n will be 30 °

Answer 2

3. ∠c = 32°

5. 3n = 30°

Explanation:

You want the measures of certain angles in triangles where the angles are marked with variable expressions.

Angle sum theorem

The angle sum theorem tells you the sum of angle measures in a triangle is 180°. That fact is used to write an equation that can be solved for the variables used to represent angle values.

3. ∠c

The sum of angles in the triangle is ...

52 +3c +c = 180 . . . . angles total 180°

4c = 128 . . . . . . . . . subtract 52

c = 32 . . . . . . . . . divide by 4

∠c = 32°

4. 3n

The sum of angles in the triangle is ...

10n +5n +3n = 180

18n = 180 . . . . . . . . . collect terms

n = 10 . . . . . . . . . . divide by 18

3n = 3·10 = 30

The measure of angle 3n is 30°.