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

Answer:
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!