The opposite angles of a parallelogram are
given as (5x + 3) and (4x + 6). Find the
measure of all the angles
Answers
Answer:
helo mate..
here is your answer..
Step-by-step explanation:
5x+3 = 4x+6
( opp angles in a // gm are equal)
5x - 4x = 6-3
x = 3
Substitute x value
5X3 + 3 = 15 + 3= 18
4X3+ 6 = 12 + 6 = 18
18 = 18
Hope it helps....
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Let, angle A be (5x+3)
angle C be (4x+6)
We know that, the opposite angels of a parallelogram are equal.
So, (5x + 3) = (4x + 6)
》5x + 3 = 4x + 6
》5x - 4x = 6 - 3
》 x = 3
Therefore,
one angle = 5x+3 = 5×3+3=18°
another angle is also 18°[opposite angles are equal]
Now, angle D is adjacent to angle A.
angle D + angle A = 180°[adjacent angles of parallelogram gives 180°]
》 D + 18 = 180
》 D = 180-18
》 D = 162°
Therefore, angle D is 162°.
angle D = angle B = 162°
[opposite angles are equal]
Thus, the measure of all the angles are-
A = 18°
A = 18°B = 162°
A = 18°B = 162°C = 18°
A = 18°B = 162°C = 18°D = 162°