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Question 1 of 5
Find the value of x and y
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Corresponding Angles are equal.
Supplementary angles are when two angles have a sum of 180°. Typically, these angles lie on a straight line.
First, notice that y and 81° are corresponding angles.
Then, to solve for x, get the supplementary angle of 81°.
First, we can see from the diagram that 81° and y are corresponding angles, which means they are equal
Notice that x lies on a line that is also parallel to 81° and y. This means that the angle supplementary to x also measures 81°
Finally, since supplementary angles add to 180°, add x and 81° and set their sum to 180°. Then, solve for the value of x.
x+81 |
= |
180 |
x+81 -81 |
= |
180 -81 |
Subtract 81 from both sides |
x |
= |
99° |
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Question 2 of 5
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Co-Interior Angles are when two angles have a sum of 180°.
To solve for a, add it to 141° and set their sum to 180°.
We can see from the diagram that 141° and a are co-interior angles, which add up to 180°
Since co-interior angles add to 180°, add the angle measures and set their sum to 180°. Then, solve for the value of a.
a+141 |
= |
180 |
a+141 -141 |
= |
180 -141 |
Subtract 141 from both sides |
a |
= |
39° |
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Question 3 of 5
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Co-Interior Angles are when two angles have a sum of 180°.
To solve for x, add it to 96° and set their sum to 180°.
We can see from the diagram that 96° and x are co-interior angles, which add to 180°
Since co-interior angles add to 180°, add the angle measures and set their sum to 180°. Then, solve for the value of x.
x+96 |
= |
180 |
x+96 -96 |
= |
180 -96 |
Subtract 96 from both sides |
x |
= |
84° |
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Question 4 of 5
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Co-Interior Angles are when two angles have a sum of 180°.
To solve for x, add it to 98° and set their sum to 180°.
We can see from the diagram that 98° and x are co-interior angles, which add to 180°
Since co-interior angles add to 180°, add the angle measures and set their sum to 180°. Then, solve for the value of x.
x+98 |
= |
180 |
x+98 -98 |
= |
180 -98 |
Subtract 98 from both sides |
x |
= |
82° |
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Question 5 of 5
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Vertically Opposite Angles
Vertically Opposite Angles are equal.
Co-Interior Angles are when two angles have a sum of 180°.
To solve for b, get the supplementary angle of 132°.
First, we can see that angle 132° is vertically opposite to angle a
Since vertically opposite angles are equal, ∠ a=132°
Finally, we can see from the diagram that a and b are co-interior angles, which add to 180°
Since co-interior angles add to 180°, add the angle measures and set their sum to 180°. Then, solve for the value of b.
a+b |
= |
180 |
132+b |
= |
180 |
Plug in the known values |
132+b -132 |
= |
180 -132 |
Subtract 132 from both sides |
b |
= |
48° |