Question

write and solve an algebraic equation to find the measure of each angle based on the given description 17. Two angles form a linear pair. The measure of one angle is 24° more than the measure of the other angle.

Answer 1

A "linear pair" means that adjacent angles (those that are next to each other) form a line.  Therefore, their sum is 180°

Let one angle is x°

Then the other angle = 24° + x°

Given that those to angles form linear pair

Hence,

x° + (24° + x°)  =   180°

24° + 2x°  =   180°

2x°  =   180° - 24°

2x°  =   156° 

x°  =   (156°) / 2

x°  =   78° 

First Angle = 78° 

Second angle = 24° + 78° = 102°

Answer :

The Linear Paired Angles are  78°  and  102°.