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

Divide. Write your answer as a fraction in simplest form. − 7 1/0÷2/5=
GIVING BRAINLIEST AND 100 POINTS!!!!!!!!! The following passage appears in an online article. Paraphrase the information for your research report about DNA. Sci
Find the value of x and d.
Express 6/2+i with a real dersominator, a. Find the conjugate of the denominator b. Express with a real denominator
What is The Humane Society of North Central Florida's mission? *
A marathon is a 26-mile race. An athlete is running a marathon that eventually finishes at a local high school. After x minutes, the distance the athlete is fro
A wall is 4200 sq ft. A gallon of paint covers 600 sq ft. Complete the conversion factor: 1 gallon / ? sq ft
if your leg was to get cut off where would you feel the pain?
Which of the following is most likely to be directly involved in public health? Scientists who study the spread of diseases in a population Nurses who give medi
What does x equal? Dpsewbskdye