Answer:
[tex]75; 85; 95; 105[/tex]
Step-by-step explanation:
Given
[tex]Angles: x, x + 10, x + 20, x + 30[/tex]
Required
Find the angles
Angles in a [tex]quadrilateral \add\ up\ to\ 360[/tex]
So:
[tex]x+ x + 10+ x + 20+ x + 30 = 360[/tex]
Collect like terms
[tex]x+ x + x + x = 360 - 10 - 20 - 30[/tex]
[tex]4x = 300[/tex]
Solve for x
[tex]x = \frac{300}{4}[/tex]
[tex]x = 75[/tex]
So, the angles are:
[tex]x = 75[/tex]
[tex]x +10= 75 + 10 = 85[/tex]
[tex]x +20= 75 + 20 = 95[/tex]
[tex]x +30= 75 + 30 = 105[/tex]
