Question

If ∠C and ∠D are vertical angles and m ∠ C = x + 5 and m ∠ D = –2x + 80, what is m ∠ C?

Answer 1

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

$(x+5)\°=(-2x+80)\°$

Solve for x

$x+2x=80-5\\3x=75\\x=25$

Find the measure of angle C

m∠C=(x+5)°

substitute the value of x

m∠C=(25+5)=30°