in quadrilateral kite two equal angles are 70degrees and 80 degrees each . find other two angles.
To find the other two angles in a quadrilateral kite, we need to use the fact that the sum of the interior angles in any quadrilateral is always 360 degrees.
In a kite, there are two pairs of equal adjacent angles. Let's call the equal angles as x and y degrees.
Given that one pair of equal angles is 70 degrees and the other pair is 80 degrees, we can set up the following equations:
x + x + y + y = 360 (since the sum of all four angles in a quadrilateral is 360 degrees)
x + x + 80 + 70 = 360 (substituting the given values)
By simplifying the equation:
2x + 150 = 360 (combining like terms)
Next, isolate x:
2x = 360 - 150 (subtracting 150 from both sides)
2x = 210
Finally, divide both sides by 2:
x = 210 / 2
x = 105
Now, we can substitute the value of x back into one of the original equations to find the value of y:
2(105) + y + y = 360
210 + 2y = 360
2y = 360 - 210
2y = 150
y = 150 / 2
y = 75
Therefore, the other two angles in the quadrilateral kite are 105 degrees and 75 degrees.