Question

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

Answer 1

Answer:

$\angle R=80\textdegree$

Step-by-step explanation:

$\angle T=113\textdegree,\ \angle S=90\textdegree,\ \angle Q=6x+11, \angle R=3+7x$

Sum of the four angle of the quadrilateral is $360\textdegree$.

$113+90+6x+11+3+7x=360\\\\13x+217=360\\\\13x=143\\\\x=11$

$\angle R=3+7x\\\\\angle R=3+7\times 11\\\\\angle R=3+77\\\\\angle R=80\textdegree$