MarjorieV702222 MarjorieV702222
  • 03-11-2022
  • Mathematics
contestada

Consider parallelogram QRST below.Use the information given in the figure to find m ZR, x, and m ZROS.R.4x1275040°7S

Consider parallelogram QRST belowUse the information given in the figure to find m ZR x and m ZROSR4x12750407S class=

Respuesta :

GlennF754477 GlennF754477
  • 03-11-2022

The opposite angles of a parallelogram are equal, therefore:

[tex]\begin{gathered} m\angle R=m\angle T \\ so\colon \\ m\angle R=75 \end{gathered}[/tex]

Opposite sides of a parallelogram are parallel and equal so:

[tex]\begin{gathered} QT=RS \\ 4x=12 \\ x=\frac{12}{4} \\ x=3 \end{gathered}[/tex]

∠TSQ and ∠RQS are alternate interior angles, therefore:

[tex]\begin{gathered} m\angle RQS=m\angle TSQ \\ so_{}\colon \\ m\angle RQS=40 \end{gathered}[/tex]

Answer Link

Otras preguntas

What is 247,009 rounded to the nearest thousand place
Ralph has a spool with 9.8 meters of wire. How many 0.14 meter pieces of wore can he cut for the spool?
Which causes strep throat, anthrax, and tetanus?
in the late 1800s, the first state government reform legislation regarding railroad practices addressed
How did social and economic life change for freed people
Hi!! i just started school and was having trouble with this question from my english paper please if you know the answer take the time 2 answer my question i
A discounted concert ticket cost $14.50 less than the original price (p). You pay $53 for a discounted ticket. Write and solve an equation to find the original
What would most likely happen to a person who is not getting enough essential amino acids in his or her diet?
How to do criss cross multiplication
The committee discussed (its, their) personal goals for the coming year.