given the parallelogram ABCD, solve for X when angle A equals (30+ 5x)° and angle D equals (15+10x)° degrees. Also, sides AB and
CD opposite each other.
2 answers:
Answer: The value of x = 9.
Step-by-step explanation:
Since we have given that
∠A = (30+5x)°
∠ D = (15+10x)°
Since ABCD is a parallelogram.
In parallelogram, opposite angles are equal and sum of adjacent angle is supplementary angles.
So, ∠A + ∠D = 180° (∵ A and D are adjacent angles)
Hence, the value of x = 9.
Answer:
X = 9°
Step-by-step explanation:
In parallelogram, the sum of the adjacent angles is equal to 180°
Given two adjacent angles of a parallelogram
<A = (30+ 5x)° and <D = (15+10x)°
To get X, we will take the sum of this two angles and equate it to 180°
<A + <D = 180°
(30+5x)° + (15+10x)° = 180°
Expanding the bracket
30+5x+15+10x = 180°
45+15x = 180°
15x = 180-45
15x = 135°
x = 135/15
x = 9°
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Step-by-step explanation:
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