nadiaelizabeth154 nadiaelizabeth154
  • 10-12-2019
  • Mathematics
contestada

Find m∠PQW if m∠WQR = 130°, m∠PQR = 16x, and m∠PQW = 3x.

Respuesta :

calculista
calculista calculista
  • 16-12-2019

Answer:

[tex]m\angle PQW=30^o[/tex]

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

[tex]m\angle PQR=m\angle PQW+m\angle WQR[/tex] ---> by addition angle postulate

substitute the given values

[tex]16x=3x+130\o[/tex]

solve for x

[tex]16x-3x=130^o[/tex]

[tex]13x=130^o[/tex]

[tex]x=10^o[/tex]

Find the measure of angle PQW

[tex]m\angle PQW=3x[/tex]

substitute the value of x

[tex]m\angle PQW=3(10^o)=30^o[/tex]

Ver imagen calculista
Answer Link

Otras preguntas

What were the main provisions of the Social Security Act
What do these lines indicate about Dickinson’s view of pride?
The cardiorespiratory workout is one that does what?
If m<2=35° and <1and <2 form a right angle. Find m <1.
Which of the following function as electron acceptors in cellular respiration? A) Glucose B) FADH2 C) FAD D) ATP E) NADH F) NAD+ Needs help extra stuck
Which group believes people are servants of the government?
Anthony likes to run he runs an additional 1/4 mile each day on the last day he ran 1 1/4 miles if he ran a half a mile his first day for how many days has he b
Why did General Douglas MacArthur go to Australia in 1942
Choose the correct type of person for the blank in the following. Many horror and suspense stories such as the lottery use stereotypical ____ instead of complex
what did Darwin think of the fossil record