Posted by **Wanda** on Tuesday, August 23, 2011 at 7:49am.

<3 and <4 form a linear pair. The measure of <3 is four more than three times the measure of <4. Find the measure of each angle.

- algebra -
**Jai**, Tuesday, August 23, 2011 at 8:09am
first we represent the unknowns using variables:

let x = measure of angle 4

let 3x+4 = measure of angle 3 (from the second statement)

then we set-up the equation. since the angles form a linear pair, their sum is equal to 180 degrees. therefore,

x + 3x + 4 = 180

4x + 4 = 180

4x = 176

x = 44 degrees (measure of angle 4)

3x + 4 = 136 degrees (measure of angle 3)

hope this helps~ :)

## Answer this Question

## Related Questions

- Math - Angle 3 and angle 4 form a linear pair. The measure of angle 3 is four ...
- Algebra - In triangle ABC, the measure of angle B is 8 degrees more than three ...
- Math (Please help immediately) - Two angles form a linear pair. The measure of ...
- algebraic equation and inaqualities - in a triangle XYZ,the measure of angle Y ...
- math - the measure of angle 1 is five less than four times the measure of angle ...
- Math - The measure of one angle in a linear pair is 30 more than twice the ...
- ALGEBRA - In triangle ABC, the measure of angle B is 27 degrees more than three ...
- Algebra2 - in the triangle ABC, the measure of angle b=21 more than three times ...
- algebra 101 - If The sum of the measures of two complementary angles is 90° and ...
- writing and linear equations - the measure of one angle is described as twelve ...

More Related Questions