PLEASE READ THE QUESTIONS AND ANSWER IT CORRECTLY
1 answer:
Answer:
(A) 70°
(B) 67°, because they are alternate interior angles
Step-by-step explanation:
<em>For a:</em>
The angles of a triangle will all add up to 180°. Using the "feathers" (lines that signify congruence), we can tell that the angle connecting the two congruent lines will be different than the other two, which will be equivalent to each other.
This means that the angle measure of x will be , or just
.
This is equal to 70°.
<em>For b:</em>
We know that the 67° angle and y are formed by the same line intersecting two parallel lines. This means that the angle measures of each intersection point will be the same as the other intersection point, however they will be flipped. This makes the concept of alternate interior angles. We know that the 67° angle and y are formed by the same line, this means that their angle lengths are the same - therefore y is 67°.
Hope this helped!
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Answer:
x = 14
y = 4
Explanation:
Ok so, just from looking at the two triangles i can tell they're congruent right triangles. I used different colors to show which sides of the triangle correspond and are equal to each other in my attatched photo.
So the side thats equal to x is the same length as the side that's equal to y+10 on the other triangle.
So we can write the equation x = y + 10.
Using this same method, the side that's equal to x + 2 is the same length as the side that's equal to 4y on the other triangle.
So, we can write the equation 4y = x + 2.
Now we have the equations you could rewrite to be in slope- intercept form so they're easier to graph. But a graphing calculator online would plot it just fine.
If you graph these two equations they'll intersect at the solution ( 14, 4 ). I'll include the graph in my images as well.
To check your answer, you can plug in x and y and see if the triangle sides end up being the same length. I did and it was correct.
