ANSWER

EXPLANATION
We determine the slope of each line using the slope formula;

The slope of BC is


The slope of AB is


The two lines are perpendicular so the product of their slopes is -1.

This implies that,




.
Answer :
67.5 degrees
Let the measure of two equal angles of the triangles is x.
Thus, the angles of the triangles are x, x and 45 degrees.
The sum of the measures of the angles of all triangles is 180 degrees.
Hence, the equation is
x + x + 45 = 180
Solve the equation for x
2x + 45 = 180
2x = 180 - 45
2x = 135
x = 67.5
Therefore, measure of other two angles are 67.5 degrees.
Answer:
- The quadrilateral is a rectangle


Step-by-step explanation:
Given,

Now,




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X - 6y=18
2x-3y=9 |*-2
x -6y=18
-4x+6y=-18
----------------
-3x=0, x=0
2x-3y=9
2*0-3y=9
-3y=9, y=-9/3, y= -3