Chad is edging a garden bed with square tiles. In the corner shown in the diagram, he wants two congruent tiles (same shape and size). If angle w is 146o then what is the size of angle y ?
Question
Chad is edging a garden bed with square tiles. In the corner shown in the diagram, he wants two congruent tiles (same shape and size). If angle w is 146o then what is the size of angle y ?
Solution
The problem involves a corner of a garden bed, which forms a right angle (90 degrees). Chad is placing two congruent square tiles in this corner.
Since the tiles are square, the angle on each corner of the tile is 90 degrees.
Given that angle w is 146 degrees, we can find the remaining angle on the tile (let's call it x) by subtracting 146 from 180 (since a straight line is 180 degrees).
So, x = 180 - 146 = 34 degrees.
Now, we know that the sum of the angles in a triangle is 180 degrees. So, we can find angle y by subtracting the known angles from 180.
Therefore, y = 180 - 90 (angle of the tile) - 34 (angle x)
So, y = 180 - 90 - 34 = 56 degrees.
Therefore, the size of angle y is 56 degrees.
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