Answer:
Angle 1 = 78 degrees
Angle 2= 90 degrees.
Angle 3= 12 degrees
Explanation:
For angle 1,
Since all opposite angles of a kite is congruent, if the opposite half of the angle is 78 degrees, then the other opposite half is also 78 degrees.
For angle 2,
Diagonals of a kite will ALWAYS form right angles, this since angle 2 is formed by intersecting diagonals, it would be 90 degrees.
For angle 3,
Opposite angles of a kite are supplementary, meaning that the two angles will form a straight line, or 180 degrees.
We know that 78 degrees is half of one opposite angle, so the opposite angle can be concluded as 156 degrees.
The other set of two angles is unknown, so we take it as this formula:
156+2x=180
We subtract 156 from 180 to cancel out the coefficient.
2x=24
Now we use the division property of equality.
2x/2=24/2
x=12.
Angle 3= 12.