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

4x + 6y = 16 2x + y = 4
... es un sitio ceremonial que se construyó cerca al año ...
How do I make a thesis out of this prompt? “Evaluate the extent to which the Mongols facilitated technological and cultural transfers in their realm and beyond
Which function shows a fabric with a price of $1.25 per square yard?
I need assistance thank u
What does this mean 31>28
A symbolic model for learning is a model that is observed in person. Please select the best answer from the choices provided True False
Blood is currently in the femoral artery. What vessel must blood pass through to enter the posterior tibial artery?
Why did the Korean War start?
How much power is needed to move an object that is 25.3 N a distance of 1.3 m in 2.5 seconds.