Question

Measures of two angles which
form a linear pair are (x+45)
and (x-35). What is the value
of x.​

Answer 1

Step-by-step explanation:

Measures of two angles which form a linear pair are (x+45) and (x-35)

sum of angles = 180

(x+45) + (x-35) = 180

2x + 45-35 = 180

2x +10 = 180

2x = 180-10

2x = 170

x = 170/2

x = 85

Answer 2

We know,

• The angles in a linear pair sums up to 180°

Given,

• Measures of two angles which form a linear pair are (x + 45)° and (x - 35)°

To find : Value of x

Here,

$\to \rm(x + 45) + (x - 35) = 180 \\ \to \tt{}x + 45 + x - 35 = 180 \\ \to \tt{}2x + 10 = 180 \\ \to \tt{} \: \: \: \: \: 2x = 180 - 10 \\ \to \tt{} \: \: \: \: 2x = 170 \\ \\ \to \tt{} \: \: \frac{2x}{2} = \frac{170}{2} \\ \\ \to \tt{} \: \: \: x = \red{85 \degree}$

Thus,

• Value of x is 85°