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?

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°

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.

a: 1/6, j: 1/4

step-by-step explanation: you are welcome