Question

What is the answer?

Answer 1

`\huge {\boxed{\tt{Solution :}}}`

Tell whether the angles are adjacent or vertical.

`\sf { 1.) \: Adjacent} \\ \sf { 2.) \: Vertical } \\ \sf { 3.) \:Adjacent}`

Find the value of x.

4.)

`\sf{{x}^ {\circ} = {110} ^ {\circ} \: [ \because {Vertically \: oppsite \: angles \: are \: equal.}]}`

5.)

`\sf{ : \implies {x}^ {\circ} + {151} ^ {\circ} ={180} ^ {\circ} \: [\because{Sum\:of \: Adjacent\:angles \: is \: {180} ^ {\circ}.}] } \\ \\ \sf{ : \implies {x}^ {\circ} ={(180 - 151)}^ {\circ}} \\ \\ : \implies {\boxed{\tt{ {x}^ {\circ} ={29}^ {\circ}}}}`

6.)

`\sf{ : \implies {x}^ {\circ} + {30} ^ {\circ} ={90} ^ {\circ} \: [ \because {Right\:angle \: is \: {90} ^ {\circ}.}] } \\ \\ \sf{ : \implies {x}^ {\circ} ={(90 - 30)}^ {\circ}} \\ \\ : \implies {\boxed{\tt{ {x}^ {\circ} ={60}^ {\circ}}}}`

7.)

`\sf{ : \implies {x}^ {\circ} + {20} ^ {\circ} ={180} ^ {\circ} \: [\because{Sum\:of \: Adjacent\:angles \: is \: {180} ^ {\circ}.}] } \\ \\ \sf{ : \implies {x}^ {\circ} ={(180 - 20)}^ {\circ}} \\ \\ : \implies {\boxed{\tt{ {x}^ {\circ} ={160}^ {\circ}}}}`

8.)

`\sf{ : \implies {x}^ {\circ} + {45} ^ {\circ} ={180} ^ {\circ} \: [\because{Sum\:of \: Adjacent\:angles \: is \: {180} ^ {\circ}.}] } \\ \\ \sf{ : \implies {x}^ {\circ} ={(180 - 45)}^ {\circ}} \\ \\ : \implies {\boxed{\tt{{x}^ {\circ} ={135}^ {\circ}}}}`

`\rule {307}{2}`

Answer 2

Tell whether the angles are adjacent or vertical.

1. Adjacent

2. Vertical

3. Adjacent

Find the value of x.

4. x= 110°

5. x= 29°

6. x= 60°

7. x= 160°

8. x= 135°

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