The measures of the four angles of quadrilateral ABCD are 36°, 72°, 108° and 144°
<u>Explanation:</u>
A polygon has three or more sides.
Example:
Triangle has 3 sides
Square has 4 sides
Pentagon has 5 sides and so on.
27)
In a quadrilateral ABCD, the measure of ZA, ZB, ZC and ZD are the ratio 1 : 2 : 3 : 4
We know,
sum of all the interior angles of a quadrilateral is 360°
So,
x + 2x + 3x + 4x = 360°
10x = 360°
x = 36°
Thus, the measure of four angles would be:
x = 36°
2x = 2 X 36° = 72°
3x = 3 X 36° = 108°
4x = 4 X 36° = 144°
Therefore, the measures of the four angles of quadrilateral ABCD are 36°, 72°, 108° and 144°
72+k is equal to 180. So if you set up a equation if looks like:
72+k=180
Subtract 72 from both sides
K=108°
Your answer is 108°
Second binomial formula
(a - b)^2 = a^2 - 2ab + b^2
(3x - 4)^2 = (3x)^2 - 2 × 3x × (-4) + (-4)^2
=9x^2 + 24x - 16
