Two angles form a linear pair. The measure of one angle is1\3 the measure of the other angle. Find the measure of each angle.

Question

This is my question but I am really struggling with it and I have no idea what I am doing at the moment so please help me

Answer 1

Hi, Cloey!

First we need to define what is a linear pair? A linear pair are two angles that makes a line. A line is 180 degrees.

So that means <1 + <2 =180 but let’s call those unknowns as x and y, So now it’s x+y=180

We also know that one angle is 1/3 the measure of the other. That means we could say x = 1/3y So now we must use substitution to find the unknown angles.

x+ y =180

1/3y + y =180 Replace x with 1/3y

1 1/3y = 180

4/3y = 180

y = 180(3/4)

y=135

Now find x: x= 1/3y

x= 1/3(135) replace y with 135

x= 45

Ans: x= 45 y=135 OR m<1=45 m<2 =135

Answer 2