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Vertical, Revolution and Reflex Angles>
Vertical, Revolution and Reflex Angles 1Vertical, Revolution and Reflex Angles 1
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Question 1 of 4
1. Question
Find the value of `x`
- `x=` (145)`°`
Hint
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Vertically opposite angles have equal values.Angle `145°` is vertically opposite to angle `x`
Since vertically opposite angles are equal, `/_ x=145°``/_ x=145°` -
Question 2 of 4
2. Question
Find the value of `y` and `z`
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`y=` (70)`°``z=` (70)`°`
Hint
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Supplementary angles are when two angles have a sum of `180°.` Typically, these angles lie on a straight line.Vertically opposite angles have equal values.To find `y`, solve for the supplementary angle of `110°`. Since `y` and `z` are vertical angles, they are equal.First, we can see from the diagram that the angle `110°` and the angle `y` lie on a straight line. Therefore, they are supplementary angles
Since supplementary angles add to `180°,` add the angle measures and set their sum to `180°.` Then, solve for the value of `c`.`y+110` `=` `180` `y+110` `-110` `=` `180` `-110` Subtract `110` from both sides `y` `=` `70°` Finally, we can see that angle `y` is vertically opposite to angle `z`
Since vertically opposite angles are equal, `/_ z=70°``/_ y=70°``/_ z=70°` -
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Question 3 of 4
3. Question
Find the value of `b`
- `b=` (60)`°`
Correct
Correct!
Incorrect
Vertically opposite angles have equal values.Angle `60°` is vertically opposite to angle `b`
Since vertically opposite angles are equal, `/_ b=60°``/_ b=60°` -
Question 4 of 4
4. Question
Find the value of `a`
- `a=` (115)`°`
Hint
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A Revolution is when angles meet on a point and have a sum of `360°.` Typically, these angles form a circle.Since a revolution adds to `360°,` add the angle measures and set their sum to `360°` in order to solve for `a``a+105+140` `=` `360` `a+245` `=` `360` Simplify `a+245` `-245` `=` `360` `-245` Subtract `245` from both sides `a` `=` `115°` `/_ a=115°`
Quizzes
- Complementary and Supplementary Angles 1
- Complementary and Supplementary Angles 2
- Complementary and Supplementary Angles 3
- Vertical, Revolution and Reflex Angles 1
- Vertical, Revolution and Reflex Angles 2
- Alternate, Corresponding and Co-Interior Angles 1
- Alternate, Corresponding and Co-Interior Angles 2
- Alternate, Corresponding and Co-Interior Angles 3
- Angles and Parallel Lines
- Triangle Geometry 1
- Triangle Geometry 2
- Triangle Geometry 3
- Quadrilateral Geometry 1
- Quadrilateral Geometry 2
- Congruent Triangles 1
- Congruent Triangles 2
- Deductive Geometry (Reasoning) 1
- Deductive Geometry (Reasoning) 2