84298294 84298294
  • 03-09-2020
  • Mathematics
contestada

If ∠ABD and ∠CBD are a linear pair, m∠ABD = (3x+31)°, m∠CBD = (2x-6)°, then find m∠ABD. *

Respuesta :

jimrgrant1 jimrgrant1
  • 03-09-2020

Answer:

∠ ABD = 124°

Step-by-step explanation:

A linear pair of angles sum to 180°, thus

∠ ABD + ∠ CBD = 180 , substitute values

3x + 31 + 2x - 6 = 180, that is

5x + 25 = 180 ( subtract 25 from both sides )

5x = 155 ( divide both sides by 5 )

x = 31

Thus

∠ ABD = 3x + 31 = 3(31) + 31 = 93 + 31 = 124°

Answer Link

Otras preguntas

match each moon or planet to the most accurate characteristic (HELP ASAP)
What are 4 different ways to get the answer -28?
What caused the loss of many farms and farming jobs in Nacimiento? A major flooding B people moving away C severe droughts D more factories opening
1. How does the impact of nicotine on the blood vessels cause smokers to be twice as likely as nonsmokers to die from a heart attack?
A girl dribbling a basketball is running a court that is 100 m in length. It takes her 4.2 seconds to reach the end of the court. Calculate the girl's average s
( Will give brainliest to whoever answers first)
5. Show and prove why (xyz)to the power of 4=x to the power of 4 +y to the power of 4+z to the power of 4
PLZ HELP 25 POINTS AND WILL MARK BRAINLIEST Divide 3/4 ÷ 1/8 = ____.
When water (H2O) freezes into ice, some of the properties have changed. What stays the same?
What caused the Age of Exploration? Explain