Angle properties of quadrilaterals Flashcards
1
Q
What is the sum of angles in a quadrilateral?
![](https://s3.amazonaws.com/brainscape-prod/system/cm/350/649/453/q_image_thumb.png?1474849533)
A
A quadrilateral can be divided into 2 triangles
Hence the sum of angles is 360º
![](https://s3.amazonaws.com/brainscape-prod/system/cm/350/649/453/a_image_thumb.png?1474849540)
2
Q
Find angle x
![](https://s3.amazonaws.com/brainscape-prod/system/cm/350/649/466/q_image_thumb.png?1472955969)
A
x = 106º (opp angle of rhombus)
3
Q
Find angle y
![](https://s3.amazonaws.com/brainscape-prod/system/cm/350/649/467/q_image_thumb.png?1472956042)
A
y = 180º - 68º (interior angle)
= 112º
4
Q
Find angle x
![](https://s3.amazonaws.com/brainscape-prod/system/cm/350/649/468/q_image_thumb.png?1472956141)
A
x = 180º - 72º (interior angle)
= 108º
5
Q
Find angle a
![](https://s3.amazonaws.com/brainscape-prod/system/cm/350/649/469/q_image_thumb.png?1472956223)
A
a = 360º - 93º - 93º - 65º
= 109º
6
Q
Find angle z
![](https://s3.amazonaws.com/brainscape-prod/system/cm/350/649/470/q_image_thumb.png?1472956329)
A
z = 360º - 125º - 77º - 100º
= 58º
7
Q
Find angle x
![](https://s3.amazonaws.com/brainscape-prod/system/cm/350/649/471/q_image_thumb.png?1472956443)
A
x = 180º - 118º
= 62º
8
Q
Find angle x
![](https://s3.amazonaws.com/brainscape-prod/system/cm/350/649/472/q_image_thumb.png?1472956560)
A
x = 90º (diagonals of squares are perpendicular)
9
Q
Find angle x
![](https://s3.amazonaws.com/brainscape-prod/system/cm/350/649/473/q_image_thumb.png?1472956641)
A
x = 180º - 117º (angles on a straight line)
= 63º
10
Q
Find angle y
![](https://s3.amazonaws.com/brainscape-prod/system/cm/350/649/474/q_image_thumb.png?1472956733)
A
y = 57º (vert opp angles)