ggjay07
Answered

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rspill6

Answer:

a).  x + y + 90° = 180°

b).  x = 67°

    y = 23°

Step-by-step explanation:

The sum of all angles in a triangle is 180°.

One of the angles in the figure is a right angle, or 90°.  Therefore the sum of the three angles in the figure is:

x + y + 90 = 180

We are also told that x + 2 = 3y.  

Rearranging that to isolate x gives us:  

x = 3y - 2

Thake the first equation and substitute the above expression of in place of x:

x + y + 90° = 180°

(3y-2) + y + 90° = 180°

4y + 88° = 180°

4 y = 92°

y = 23°

To find angle x, use y = 23°

x = 3y - 2

x = 3*(23°) - 2

x = 67°

The sum 90° + 67° + 23° = 180°

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