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Question 1 of 4
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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°
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Question 2 of 4
Find the value of y and z
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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°
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Question 3 of 4
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Vertically opposite angles have equal values.
Angle 60° is vertically opposite to angle b
Since vertically opposite angles are equal, ∠ b=60°
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Question 4 of 4
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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° |