sarahsolana0210 sarahsolana0210
  • 23-04-2018
  • Mathematics
contestada

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:

Respuesta :

Louli
Louli Louli
  • 23-04-2018
Answer:
x = 10

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 :)
Ver imagen Louli
Answer Link

Otras preguntas

Which of the following is an important property of water? a. Water temperature rises and falls quickly. b. Water lacks cohesive properties. c. Water is a goo
The interpretation of the laws is the proper and peculiar province of the courts. A constitution is, in fact, and must be regarded by the judges, as a fundament
Which letter correctly labels the area claimed by the French as of 1682?
Based on what you know about Russian climates, which city would likely be the most difficult to travel to?
write (9x-5y)(2x+3y) as a polynomial
What is cosine of 8pi/3
The people we call Native Americans were all Incas. all Mayans. all Aztecs. a mixture of these groups many different tribes in North America who lived in all di
how did the revolutionary war effect the women
what is the estimation of 73404 + 27865
simplified form of |3.5-4.7|+5.6