Question

Two angles are a linear pair. Their measures are the represented as x + 30 and 3x -10 respectively. What are the measures of the angles

Answer 1

the sum of the angles of a linear pair is equal to 180 degree

therefore x+30 +(3x-10) = 180°

4x +20 = 180

4x = 180-20

X = 160/4

X = 40

x+30 = 70°

3x - 10 = 110°

$....$

Answer 2

Given - Measure of angles

Find - Angles

Solution - The linear pair of angles have sum of 180°. Thus, representing the given information in mathematical expression form.

x + 30 + 3x - 10 = 180

Performing addition and subtraction on Left Hand Side

4x + 20 = 180

Shifting 20 to Right Hand Side

4x = 180 - 20

Performing subtraction

4x = 160

Shifting 4 to Right Hand Side

$x = \frac{160}{4}$

$x = 40$

So, first angle = x + 30

First angle = 40 + 30

First angle = 70°

Second angle = 3x - 10

Second angle = 3*40 - 10

Second angle = 120 - 10

Second angle = 110°

Therefore, the measurement of angles is 70° and 110°.