Question

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Answer 1

Answer:

see explanation

Step-by-step explanation:

(a)

The opposite sides of a rectangle are congruent, hence

x + 1 = 5 ( subtract 1 from both sides )

x = 4

Or

x - 1 = 3 ( add 1 to both sides )

x = 4

(b)

The sum of the 3 angles in a triangle = 180°, hence

3y + 2y + y = 180

6y = 180 ( divide both sides by 6 )

y = 30

Answer 2

Answer:

PART A "4"

PART B "30"

Step-by-step explanation:

PART A

If you refer to my picture below, then you will know that the sides are equal.

The x-1 side is equal to 3 and the x+1 sign is equal to 5. So it best makes sense that 4 is equal to x. That's because x-1 is 3 and x+1 is 5.

PART B

This is tricky. As you know all sides of a triangle add up to 180 degrees. I would divide by 3, but that would be incorrect. Whenever you see these y's, you have to divide by that amount. The y's are there for a reason, so that some sides are bigger than the other. Divide 180 by 6(number of y's). That is 30. This gives you the solution to one y so if it asks you for 2y or 3y, then you would multiply. But it's not. 30 is the answer