In the accompanying diagram of parallelogram ABCD, LaTeX: m\angle A=x+17 m ∠ A = x + 17 and LaTeX: m\angle C=2x-4 m ∠ C = 2 x −
4 . Find the value of x.
1 answer:
Answer:
x = 21
Explanation:
In a parallelogram, each two opposite angles are equal.
In the given parallelogram ABCD, we can note that angles A and C are opposite angles. This means that they have equal measures.
Therefore:
∠A = ∠C
x + 17 = 2x - 4
17 + 4 = 2x - x
x = 21
We can check:
angle A = 21 + 17 = 38°
angle C = 2(21) - 4 = 38°
They are equal
Hope this helps :)
x = 21
Explanation:
In a parallelogram, each two opposite angles are equal.
In the given parallelogram ABCD, we can note that angles A and C are opposite angles. This means that they have equal measures.
Therefore:
∠A = ∠C
x + 17 = 2x - 4
17 + 4 = 2x - x
x = 21
We can check:
angle A = 21 + 17 = 38°
angle C = 2(21) - 4 = 38°
They are equal
Hope this helps :)
You might be interested in
<u>Anna:</u>
1st month = 18 + = 18
inches
2nd month = 18 +
= 19
3rd month = 19 +
= 20
4th month = 20 +
= 21
5th month = 21 + = 21
<u>Grace:</u>
Because Anna is inches shorter than Grace, we can start the count from the third month:
1st month = 20
2nd month = 21
3rd month = 21
4th month = 21 +
= 22
5th month = 22 +
= 23