Answer:
m∠C=30°
Step-by-step explanation:
we know that
Vertical Angles are the angles opposite each other when two lines cross. They are always equal
so
m∠C=m∠D
substitute the given values
[tex](x+5)\°=(-2x+80)\°[/tex]
Solve for x
[tex]x+2x=80-5\\3x=75\\x=25[/tex]
Find the measure of angle C
m∠C=(x+5)°
substitute the value of x
m∠C=(25+5)=30°
