Find the measure of all the angles kf a paralellogram if one angle is 27° less than twice the smallest angles.
Answers
Answer:
hy
Step-by-step explanation:
We know that Sum of adjacent sides of a parallelogram = 180
Let the smallest angle of the parallelogram be x.
Then the other angle will be (2x-24).
x + (2x - 24) = 180
3x - 24 = 180
3x = 204
x = 68.
Then the other angle will be 2(68) - 24 = 112.
The angles are 68,112.
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Let the smallest angle be 'x'
The other angle = 2x-24
in a parallelogram, opposite angles are equal
∴x+x+2x-24+2x-24=360
6x-48=360
6x=360+48
x=408/6
∴x=68°
the angles are 68°,112°,68°,112°
Answer:
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