Answer: m∠R=30° m∠N=30°
If ΔRST is congruent to ΔNPQ, then we can infer that m∠R is congruent to m∠N
m∠R=-7x+9
m∠N=-10x
If both angles are congruent, we can solve for x...
-7x+9=-10x
add 7x to both sides
9=-3x
divide both sides by -3
-3=x
Now that we know the value of x, we can solve for the measure of the angles.
m∠R=-7x+9
m∠R=-7(-3)+9
m∠R=21+9
m∠R=30°
m∠N=-10x
m∠N=-10(-3)
m∠N=30°
