Question

In the parallelogram ABCD, LaTeX: m\angle A=2x+50 m ∠ A = 2 x + 50 and LaTeX: m\angle C=3x+40 m ∠ C = 3 x + 40 . The measure of LaTeX: \angle A ∠ A is:

Answer 1

Answer:
x = 10

Step-by-step explanation:
In a parallelogram, each two opposite angles are equal in measure.

In the given parallelogram ABCD, we can note that angles A and C are opposite angles. This means that the measures of these two angles are equal.

Therefore:
∠A = ∠C
2x + 50 = 3x + 40
50 - 40 = 3x - 2x
x = 10

We can check:
angle A = 2(10) + 50 = 70°
angle C = 3(10) + 40 = 70°
They are equal

Hope this helps :)