edwaport3p2ojya edwaport3p2ojya
  • 02-02-2020
  • Mathematics
contestada

Find the measure of the angle indicated in the image above.
A) 120 degrees
B) 76 degrees
C) 80 degrees
D) 90 degrees

Find the measure of the angle indicated in the image above A 120 degrees B 76 degrees C 80 degrees D 90 degrees class=

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sam4040
sam4040 sam4040
  • 08-02-2020

Answer:

[tex]\angle R=80\textdegree[/tex]

Step-by-step explanation:

[tex]\angle T=113\textdegree,\ \angle S=90\textdegree,\ \angle Q=6x+11, \angle R=3+7x[/tex]

Sum of the four angle of the quadrilateral is [tex]360\textdegree[/tex].

[tex]113+90+6x+11+3+7x=360\\\\13x+217=360\\\\13x=143\\\\x=11[/tex]

[tex]\angle R=3+7x\\\\\angle R=3+7\times 11\\\\\angle R=3+77\\\\\angle R=80\textdegree[/tex]

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