Question

Two angles form a linear pair the Measure of one angle is 2.6 times the measure of the other angle find the measure of each angle

Answer 1

Answer:

The measures of the angles are 50° and 130°

Step-by-step explanation:

Let

x ----> the measure of one angle

y ----> the measure of the other angle

we know that

If two angles form a linear pair , then their sum is equal to 180 degrees

$x+y=180$ -----> equation A

$x=2.6y$ ----> equation B

substitute equation B in equation A

$2.6y+y=180$

solve for y

$3.6y=180$

$y=50^o$

Find the value of x

$x=2.6(50)=130^o$

The measures of the angles are 50° and 130°