Find the value of x in each diagram. Show all your working and give reasons for any statements.

x = 150

Step-by-step explanation:

The sum of the angles around a point is 360°

Sum the 3 angles and equate to 360

x + x - 30 + 90 = 360

2x + 60 = 360 ( subtract 60 from both sides )

2x = 300 ( divide both sides by 2 )

x = 150

x = 150°

We need to find 'x'. We are given that the sum of the angles around the points is 360°. Using this clue, we can find the unknown 'x'.

Step 1: Create an Equation of the Angles.

=> 360 = x + x - 30 + 90.

Step 2: Solve.

=> 360 = x + x - 30 + 90.

=> 360 = 2x + 60.

=> 360 - 60 = 2x

=> 300 = 2x

=> x = 150

After working on the problem, we can conclude that x = 150°.

Hoped this helped!

step-by-step explanation:

15 units use socratic

step-by-step explanation: 15 units