Vertical Angles

Complementary and Supplementary and Vertical Angles Oh My!

​Complementary Angles

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Find the value of x.

​Supplementary Angles

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Find the value of x.

​Vertical Angles

​Since vertical angles are equal to one another, set both angles equal to each other in an equation and solve.

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Find the value of x.

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$$\angle1$$ = 8x + 6 and  $$\angle2$$ = 19x + 3

$$\angle1$$  and  $$\angle2$$  are complementary. 

Solve for x.

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  $$\angle1$$ =  x + 1 and  $$\angle2$$ = 4x - 56

$$\angle1$$  and  $$\angle2$$  are supplementary. 

Solve for x.

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  $$\angle1$$ =  2x and  $$\angle2$$ = 103 + x

$$\angle1$$  and  $$\angle2$$  are vertical angles. 

Solve for x.