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JaySavage7001
15.04.2021 •
Mathematics
What is the value of the expression 5 x (4+3)-4
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Ответ:
Ответ:
Ответ:
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 :)