Question

1. Two angles form a linear pair. The measure of
the larger angle is four times the measure of the
smaller angle. What is the larger angle's
measure?

Answer 1

Answer:

144°

Step-by-step explanation:

let the smaller angle be x then the larger angle is 4x

The sum of a linear pair of angles = 180°, thus

x + 4x = 180 , that is

5x = 180 ( divide both sides by 5 )

x = 36

Thus the larger angle = 4x = 4 × 36 = 144°

Answer 2

Answer:

let the smaller angle be x.Then the bigger angle will be 4x.

x+4x= 180

or, 5x=180

or, x=180/5

there fore, x=36

Again,

4x=4×36

=144

The larger angle is 144.