ijustwannaknowanswer ijustwannaknowanswer
  • 20-09-2022
  • Mathematics
contestada

∠A and \angle B∠B are complementary angles. If m\angle A=(x-19)^{\circ}∠A=(x−19) ∘ and m\angle B=(3x+1)^{\circ}∠B=(3x+1) ∘ , then find the measure of \angle B∠B.

Respuesta :

jimrgrant1 jimrgrant1
  • 20-09-2022

Answer:

∠ B = 82°

Step-by-step explanation:

complementary angles sum to 90° , then

∠ A + ∠ B = 90 , that is

x - 19 + 3x + 1 = 90

4x - 18 = 90 ( add 18 to both sides )

4x = 108 ( divide both sides by 4 )

x = 27

Then

∠ B = 3x + 1 = 3(27) + 1 = 81 + 1 = 82°

Answer Link

Otras preguntas

101110 (base 2) -> (base 7)
How does Abigail turn the court against Mary Warren?
The ordered pair of (-3,0) is a solution of which system
what made the Fertile Crescent or Mesopotamia ideal for the development of civilization?
need help soon Which sentence uses correct capitalization? A. Jimmy's mom and dad asked him to make sure he had studied before he went to the Game. B.
A line passes through the points (2, 10) and (1, 0). What is its equation in slope-intercept form?
Allison bought some shirts for her clothing store for $15 each. She received $50 off her entire purchase and spent a total of $400. Use the equation below to fi
What is the quotient and remainder
In subject-verb agreement, the subject _[blank]_ must match the _[blank]_ form.Which sentence completes the blanks correctly? In a subject-verb agreement, the s
Twice the sum of some and 1 is equal to 6 less than 4 times the number