It’s been a while since I’ve done geometry, but I think this is right.
Because we are dealing with a rhombus: angles X and A are the same, so we use this to solve for x like any other algebraic expression.
After we have found x (24), we can also apply the knowledge that since angles X and M are complementary they will form a 180° line when added.
Substitute the expression for angle X with the solved for expression and subtract it from 180°. And bam! Angle M
The sum of the interior angles of a quadrilateral is 4 Right Angles or 360 Degrees.
Hope this helps
The solution point is (4,2).
Step-by-step explanation:
Equation of straight line passing through the points (0,0) and (4,2) is given by
⇒ 2y = x ............ (1)
And the other straight line is y = - x + 6 .............. (2)
Now, solving equations (1) and (2) we get, y = - 2y + 6
⇒ 3y = 6
⇒ y = 2
And from equation (1) we get, x = 2y = 4
Therefore, the solution point is (4,2). (Answer)