Question

How do I solve for x, y, and z? Please help ASAP.

Answer 1

Answer:

x = 60 degrees, y = 120 degrees, z = 30 degrees

Step-by-step explanation:

To solve this problem, we must first recognize that the triangle on the left is an equilateral triangle.  This means that all of its side lengths are equal, which in turn means that all of its angles have the same measure.  Since we know the sum of the interior angles of a triangle must be 180, we can write and solve the following:

x + x + x = 180

3x = 180

x = 60 degrees

Next, we should notice that one of the 60 degree angles is supplementary with angle y, which means that their sum should equal 180 degrees.  This lets us write the following equation:

y + 60 = 180

When we subtract 60 from both sides to solve, we get:

y = 120 degrees

Finally, we should notice that the triangle on the right is isosceles.  This means that two of the side lengths (and thus two of the angles) are equal.  This means that the unmarked angle must also measure z degrees since the side lengths corresponding to these two side lengths are equal.  From this information we can write the following equation:

y + z + z = 180

If we substitute the value for y and solve, we get:

120 + 2z = 180

2z = 60

z = 30 degrees

Therefore, the correct answer is x = 60 degrees, y = 120 degrees, and z = 30 degrees.

Hope this helps!

Answer 2

Answer:

X=60° Y=120° Z=35

Step-by-step explanation:

Evey angle equals 180 so 180/3 sides equals 60 to check your answer do 60×3= 180

For the second on one of the angles is an obtuse angle. And so it's more than a 90° angle so Y is 120 if you subtract that buy 180 its 60. Leaving 60° left, you might think it is 40° on each side but NO one angle is BIGGER making it 35 (25+35=60)