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In question 8, we have a diagram that shows a rectangular gate that has two diagonal supports.
00:08
You're given that the measure of angle 1 is 42 and we now need to find the measure of angle 2.
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Now the first thing we need to know about a rectangle is that the diagonals of a rectangle bisecti.
00:25
Actually, the diagonals are congruent.
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They have the same size.
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And since a rectangle is a parallelogram, the diagonals bisect each other.
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So that means that this angle, now these two sides are the same.
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And also we can say that these two are the same.
00:46
Now we know that all the angles in a rectangle are right.
00:51
So the measure of the remaining angle here should be 48 degrees because they should add up to 90.
01:00
So this is 48 degrees...