Given ΔRST congruent to ΔNPQ, m∠R = -7x + 9, m∠N = -10x, find m∠R and m∠N.
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2021-04-08 12:32:31

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°

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