Plz help! i rlly need this question !

Mathematics

1 answer:

Mazyrski [523]3 years ago

3 0

answer: she is right that y = 29, but step three should be addition property of equality.

work: let's see how she worked to isolate y. she started by subtracting 2y from both sides, so so far she is correct. after that, she added 84 to both sides, and again that is a correct step, but her proof is wrong, since you are adding and not subtracting 84, it's the addition property of equality. lastly, she divided 145 by and correctly got 29. so yes, she is correct.

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In the figure above, quadrilateral ABCD is a parallelogram. Let x represent the measure of angle GBF, y represent the measure of

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Answers:
measure angle x = 40°
measure angle y = 35°
measure angle z = 55°

Explanation:
Part (a): getting angle x:
In triangle BED, we have:
measure angle BED = 90°
measure angle BDE = 50°
Therefore:
measure angle DBE = 180 - (90+50) = 40°
Now, we have angle DBE and angle GBF vertically opposite angles.
This means that they are both equal. Therefore angle GBF = 40°
Since angle GBF is x, therefore:
x = 40°

Part (b): getting angle y:
We know that the sum of measures of angles on a straight line is 180.
This means that:
angle GBF + angle GBC + angle CBE = 180
We have:
angle GBF = 40°
angle GBC = 105°
angle CBE = y
Therefore:
40 + 105 + y = 180
y = 35°

Part (c): getting angle z:
In triangle BCE, we have:
measure angle BCE = z
measure angle BEC = 90°
measure angle CBE = 35°
Therefore:
z + 90 + 35 = 180
z = 55°

Hope this helps :)